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Finding the Fourth Proportional to 102.46, 141.42 and 65.10

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Solution

The fourth proportional to 102.46, 141.42 and 65.10 is: 89.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.46 : 141.42 = 65.10 : x
  2. Step 2: Convert to fraction form
    102.46/141.42 = 65.10/x
  3. Step 3: Cross multiply
    102.46x = 141.42 × 65.10
  4. Step 4: Simplify right side
    102.46x = 9,206.07
  5. Step 5: Solve for x
    x = 9,206.07/102.46
  6. Step 6: Final answer
    x = 89.85

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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.