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Finding the Fourth Proportional to 284.74, 427.03 and 102.10

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Solution

The fourth proportional to 284.74, 427.03 and 102.10 is: 153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.74 : 427.03 = 102.10 : x
  2. Step 2: Convert to fraction form
    284.74/427.03 = 102.10/x
  3. Step 3: Cross multiply
    284.74x = 427.03 × 102.10
  4. Step 4: Simplify right side
    284.74x = 43,597.12
  5. Step 5: Solve for x
    x = 43,597.12/284.74
  6. Step 6: Final answer
    x = 153.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.