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Finding the Fourth Proportional to 96.76, 145.29 and 76.20

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Solution

The fourth proportional to 96.76, 145.29 and 76.20 is: 114.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.76 : 145.29 = 76.20 : x
  2. Step 2: Convert to fraction form
    96.76/145.29 = 76.20/x
  3. Step 3: Cross multiply
    96.76x = 145.29 × 76.20
  4. Step 4: Simplify right side
    96.76x = 11,071.38
  5. Step 5: Solve for x
    x = 11,071.38/96.76
  6. Step 6: Final answer
    x = 114.42

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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.