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Finding the Fourth Proportional to 99.76, 148.69 and 97.20

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Solution

The fourth proportional to 99.76, 148.69 and 97.20 is: 144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.76 : 148.69 = 97.20 : x
  2. Step 2: Convert to fraction form
    99.76/148.69 = 97.20/x
  3. Step 3: Cross multiply
    99.76x = 148.69 × 97.20
  4. Step 4: Simplify right side
    99.76x = 14,452.67
  5. Step 5: Solve for x
    x = 14,452.67/99.76
  6. Step 6: Final answer
    x = 144.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.