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Finding the Fourth Proportional to 117.98, 176.61 and 99.62

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Solution

The fourth proportional to 117.98, 176.61 and 99.62 is: 149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.98 : 176.61 = 99.62 : x
  2. Step 2: Convert to fraction form
    117.98/176.61 = 99.62/x
  3. Step 3: Cross multiply
    117.98x = 176.61 × 99.62
  4. Step 4: Simplify right side
    117.98x = 17,593.89
  5. Step 5: Solve for x
    x = 17,593.89/117.98
  6. Step 6: Final answer
    x = 149.13

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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.