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Finding the Fourth Proportional to 102.32, 141.24 and 76.48

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Solution

The fourth proportional to 102.32, 141.24 and 76.48 is: 105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.32 : 141.24 = 76.48 : x
  2. Step 2: Convert to fraction form
    102.32/141.24 = 76.48/x
  3. Step 3: Cross multiply
    102.32x = 141.24 × 76.48
  4. Step 4: Simplify right side
    102.32x = 10,802.04
  5. Step 5: Solve for x
    x = 10,802.04/102.32
  6. Step 6: Final answer
    x = 105.57

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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.