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Finding the Fourth Proportional to 102.25, 141.07 and 69.53

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Solution

The fourth proportional to 102.25, 141.07 and 69.53 is: 95.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 141.07 = 69.53 : x
  2. Step 2: Convert to fraction form
    102.25/141.07 = 69.53/x
  3. Step 3: Cross multiply
    102.25x = 141.07 × 69.53
  4. Step 4: Simplify right side
    102.25x = 9,808.25
  5. Step 5: Solve for x
    x = 9,808.25/102.25
  6. Step 6: Final answer
    x = 95.93

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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.