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Finding the Fourth Proportional to 102.02, 152.84 and 85.75

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Solution

The fourth proportional to 102.02, 152.84 and 85.75 is: 128.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.02 : 152.84 = 85.75 : x
  2. Step 2: Convert to fraction form
    102.02/152.84 = 85.75/x
  3. Step 3: Cross multiply
    102.02x = 152.84 × 85.75
  4. Step 4: Simplify right side
    102.02x = 13,105.86
  5. Step 5: Solve for x
    x = 13,105.86/102.02
  6. Step 6: Final answer
    x = 128.47

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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.