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Finding the Fourth Proportional to 99.02, 148.31 and 76.02

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Solution

The fourth proportional to 99.02, 148.31 and 76.02 is: 113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.02 : 148.31 = 76.02 : x
  2. Step 2: Convert to fraction form
    99.02/148.31 = 76.02/x
  3. Step 3: Cross multiply
    99.02x = 148.31 × 76.02
  4. Step 4: Simplify right side
    99.02x = 11,274.53
  5. Step 5: Solve for x
    x = 11,274.53/99.02
  6. Step 6: Final answer
    x = 113.86

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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.