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Finding the Fourth Proportional to 99.48, 148.07 and 97.24

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Solution

The fourth proportional to 99.48, 148.07 and 97.24 is: 144.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.48 : 148.07 = 97.24 : x
  2. Step 2: Convert to fraction form
    99.48/148.07 = 97.24/x
  3. Step 3: Cross multiply
    99.48x = 148.07 × 97.24
  4. Step 4: Simplify right side
    99.48x = 14,398.33
  5. Step 5: Solve for x
    x = 14,398.33/99.48
  6. Step 6: Final answer
    x = 144.74

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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.