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Finding the Fourth Proportional to 102.42, 152.91 and 86.22

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Solution

The fourth proportional to 102.42, 152.91 and 86.22 is: 128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.42 : 152.91 = 86.22 : x
  2. Step 2: Convert to fraction form
    102.42/152.91 = 86.22/x
  3. Step 3: Cross multiply
    102.42x = 152.91 × 86.22
  4. Step 4: Simplify right side
    102.42x = 13,183.90
  5. Step 5: Solve for x
    x = 13,183.90/102.42
  6. Step 6: Final answer
    x = 128.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.