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Finding the Fourth Proportional to 85.78, 128.70 and 75.42

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Solution

The fourth proportional to 85.78, 128.70 and 75.42 is: 113.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 128.70 = 75.42 : x
  2. Step 2: Convert to fraction form
    85.78/128.70 = 75.42/x
  3. Step 3: Cross multiply
    85.78x = 128.70 × 75.42
  4. Step 4: Simplify right side
    85.78x = 9,706.55
  5. Step 5: Solve for x
    x = 9,706.55/85.78
  6. Step 6: Final answer
    x = 113.16

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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.