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Finding the Fourth Proportional to 124.37, 171.56 and 89.40

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Solution

The fourth proportional to 124.37, 171.56 and 89.40 is: 123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.37 : 171.56 = 89.40 : x
  2. Step 2: Convert to fraction form
    124.37/171.56 = 89.40/x
  3. Step 3: Cross multiply
    124.37x = 171.56 × 89.40
  4. Step 4: Simplify right side
    124.37x = 15,337.02
  5. Step 5: Solve for x
    x = 15,337.02/124.37
  6. Step 6: Final answer
    x = 123.32

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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.