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Finding the Fourth Proportional to 102.66, 154.05 and 86.46

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Solution

The fourth proportional to 102.66, 154.05 and 86.46 is: 129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.66 : 154.05 = 86.46 : x
  2. Step 2: Convert to fraction form
    102.66/154.05 = 86.46/x
  3. Step 3: Cross multiply
    102.66x = 154.05 × 86.46
  4. Step 4: Simplify right side
    102.66x = 13,319.16
  5. Step 5: Solve for x
    x = 13,319.16/102.66
  6. Step 6: Final answer
    x = 129.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.