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Finding the Fourth Proportional to 76.13, 114.10 and 32.78

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Solution

The fourth proportional to 76.13, 114.10 and 32.78 is: 49.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.13 : 114.10 = 32.78 : x
  2. Step 2: Convert to fraction form
    76.13/114.10 = 32.78/x
  3. Step 3: Cross multiply
    76.13x = 114.10 × 32.78
  4. Step 4: Simplify right side
    76.13x = 3,740.10
  5. Step 5: Solve for x
    x = 3,740.10/76.13
  6. Step 6: Final answer
    x = 49.13

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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.