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Finding the Fourth Proportional to 124.02, 171.14 and 71.54

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Solution

The fourth proportional to 124.02, 171.14 and 71.54 is: 98.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.02 : 171.14 = 71.54 : x
  2. Step 2: Convert to fraction form
    124.02/171.14 = 71.54/x
  3. Step 3: Cross multiply
    124.02x = 171.14 × 71.54
  4. Step 4: Simplify right side
    124.02x = 12,243.36
  5. Step 5: Solve for x
    x = 12,243.36/124.02
  6. Step 6: Final answer
    x = 98.72

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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.