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Finding the Fourth Proportional to 122.16, 168.58 and 91.10

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Solution

The fourth proportional to 122.16, 168.58 and 91.10 is: 125.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.16 : 168.58 = 91.10 : x
  2. Step 2: Convert to fraction form
    122.16/168.58 = 91.10/x
  3. Step 3: Cross multiply
    122.16x = 168.58 × 91.10
  4. Step 4: Simplify right side
    122.16x = 15,357.09
  5. Step 5: Solve for x
    x = 15,357.09/122.16
  6. Step 6: Final answer
    x = 125.72

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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.