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Finding the Fourth Proportional to 102.18, 152.97 and 85.86

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Solution

The fourth proportional to 102.18, 152.97 and 85.86 is: 128.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.18 : 152.97 = 85.86 : x
  2. Step 2: Convert to fraction form
    102.18/152.97 = 85.86/x
  3. Step 3: Cross multiply
    102.18x = 152.97 × 85.86
  4. Step 4: Simplify right side
    102.18x = 13,134.00
  5. Step 5: Solve for x
    x = 13,134.00/102.18
  6. Step 6: Final answer
    x = 128.54

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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.