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Finding the Fourth Proportional to 102.24, 141 and 63.42

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Solution

The fourth proportional to 102.24, 141 and 63.42 is: 87.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.24 : 141 = 63.42 : x
  2. Step 2: Convert to fraction form
    102.24/141 = 63.42/x
  3. Step 3: Cross multiply
    102.24x = 141 × 63.42
  4. Step 4: Simplify right side
    102.24x = 8,942.22
  5. Step 5: Solve for x
    x = 8,942.22/102.24
  6. Step 6: Final answer
    x = 87.46

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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.