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Finding the Fourth Proportional to 102.67, 141.65 and 75.10

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Solution

The fourth proportional to 102.67, 141.65 and 75.10 is: 103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.67 : 141.65 = 75.10 : x
  2. Step 2: Convert to fraction form
    102.67/141.65 = 75.10/x
  3. Step 3: Cross multiply
    102.67x = 141.65 × 75.10
  4. Step 4: Simplify right side
    102.67x = 10,638.13
  5. Step 5: Solve for x
    x = 10,638.13/102.67
  6. Step 6: Final answer
    x = 103.62

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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.