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Finding the Fourth Proportional to 102.14, 153.08 and 56.50

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Solution

The fourth proportional to 102.14, 153.08 and 56.50 is: 84.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.14 : 153.08 = 56.50 : x
  2. Step 2: Convert to fraction form
    102.14/153.08 = 56.50/x
  3. Step 3: Cross multiply
    102.14x = 153.08 × 56.50
  4. Step 4: Simplify right side
    102.14x = 8,649.02
  5. Step 5: Solve for x
    x = 8,649.02/102.14
  6. Step 6: Final answer
    x = 84.68

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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.