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Finding the Fourth Proportional to 85.74, 129.08 and 78.30

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Solution

The fourth proportional to 85.74, 129.08 and 78.30 is: 117.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.74 : 129.08 = 78.30 : x
  2. Step 2: Convert to fraction form
    85.74/129.08 = 78.30/x
  3. Step 3: Cross multiply
    85.74x = 129.08 × 78.30
  4. Step 4: Simplify right side
    85.74x = 10,106.57
  5. Step 5: Solve for x
    x = 10,106.57/85.74
  6. Step 6: Final answer
    x = 117.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.