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Finding the Fourth Proportional to 99.63, 148.43 and 97.61

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Solution

The fourth proportional to 99.63, 148.43 and 97.61 is: 145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.63 : 148.43 = 97.61 : x
  2. Step 2: Convert to fraction form
    99.63/148.43 = 97.61/x
  3. Step 3: Cross multiply
    99.63x = 148.43 × 97.61
  4. Step 4: Simplify right side
    99.63x = 14,487.75
  5. Step 5: Solve for x
    x = 14,487.75/99.63
  6. Step 6: Final answer
    x = 145.42

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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.