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Finding the Fourth Proportional to 176.58, 243.82 and 124.74

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Solution

The fourth proportional to 176.58, 243.82 and 124.74 is: 172.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.58 : 243.82 = 124.74 : x
  2. Step 2: Convert to fraction form
    176.58/243.82 = 124.74/x
  3. Step 3: Cross multiply
    176.58x = 243.82 × 124.74
  4. Step 4: Simplify right side
    176.58x = 30,414.11
  5. Step 5: Solve for x
    x = 30,414.11/176.58
  6. Step 6: Final answer
    x = 172.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.