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Finding the Fourth Proportional to 117.90, 176.24 and 115.02

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Solution

The fourth proportional to 117.90, 176.24 and 115.02 is: 171.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.90 : 176.24 = 115.02 : x
  2. Step 2: Convert to fraction form
    117.90/176.24 = 115.02/x
  3. Step 3: Cross multiply
    117.90x = 176.24 × 115.02
  4. Step 4: Simplify right side
    117.90x = 20,270.55
  5. Step 5: Solve for x
    x = 20,270.55/117.90
  6. Step 6: Final answer
    x = 171.93

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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.