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Finding the Fourth Proportional to 284.64, 427.04 and 102.06

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Solution

The fourth proportional to 284.64, 427.04 and 102.06 is: 153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.64 : 427.04 = 102.06 : x
  2. Step 2: Convert to fraction form
    284.64/427.04 = 102.06/x
  3. Step 3: Cross multiply
    284.64x = 427.04 × 102.06
  4. Step 4: Simplify right side
    284.64x = 43,583.19
  5. Step 5: Solve for x
    x = 43,583.19/284.64
  6. Step 6: Final answer
    x = 153.12

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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.