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Finding the Fourth Proportional to 124.12, 171.36 and 89.12

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Solution

The fourth proportional to 124.12, 171.36 and 89.12 is: 123.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.12 : 171.36 = 89.12 : x
  2. Step 2: Convert to fraction form
    124.12/171.36 = 89.12/x
  3. Step 3: Cross multiply
    124.12x = 171.36 × 89.12
  4. Step 4: Simplify right side
    124.12x = 15,271.07
  5. Step 5: Solve for x
    x = 15,271.07/124.12
  6. Step 6: Final answer
    x = 123.04

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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.