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Finding the Fourth Proportional to 118.01, 176.33 and 71.99

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Solution

The fourth proportional to 118.01, 176.33 and 71.99 is: 107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.01 : 176.33 = 71.99 : x
  2. Step 2: Convert to fraction form
    118.01/176.33 = 71.99/x
  3. Step 3: Cross multiply
    118.01x = 176.33 × 71.99
  4. Step 4: Simplify right side
    118.01x = 12,693.55
  5. Step 5: Solve for x
    x = 12,693.55/118.01
  6. Step 6: Final answer
    x = 107.57

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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.