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Finding the Fourth Proportional to 102.53, 141.51 and 65.70

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Solution

The fourth proportional to 102.53, 141.51 and 65.70 is: 90.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.53 : 141.51 = 65.70 : x
  2. Step 2: Convert to fraction form
    102.53/141.51 = 65.70/x
  3. Step 3: Cross multiply
    102.53x = 141.51 × 65.70
  4. Step 4: Simplify right side
    102.53x = 9,297.21
  5. Step 5: Solve for x
    x = 9,297.21/102.53
  6. Step 6: Final answer
    x = 90.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.