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Finding the Fourth Proportional to 130.92, 196.28 and 62.40

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Solution

The fourth proportional to 130.92, 196.28 and 62.40 is: 93.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.92 : 196.28 = 62.40 : x
  2. Step 2: Convert to fraction form
    130.92/196.28 = 62.40/x
  3. Step 3: Cross multiply
    130.92x = 196.28 × 62.40
  4. Step 4: Simplify right side
    130.92x = 12,247.87
  5. Step 5: Solve for x
    x = 12,247.87/130.92
  6. Step 6: Final answer
    x = 93.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.