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Finding the Fourth Proportional to 99.54, 149.13 and 63.45

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Solution

The fourth proportional to 99.54, 149.13 and 63.45 is: 95.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.54 : 149.13 = 63.45 : x
  2. Step 2: Convert to fraction form
    99.54/149.13 = 63.45/x
  3. Step 3: Cross multiply
    99.54x = 149.13 × 63.45
  4. Step 4: Simplify right side
    99.54x = 9,462.30
  5. Step 5: Solve for x
    x = 9,462.30/99.54
  6. Step 6: Final answer
    x = 95.06

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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.