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Finding the Fourth Proportional to 86.42, 129.76 and 52.34

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Solution

The fourth proportional to 86.42, 129.76 and 52.34 is: 78.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.42 : 129.76 = 52.34 : x
  2. Step 2: Convert to fraction form
    86.42/129.76 = 52.34/x
  3. Step 3: Cross multiply
    86.42x = 129.76 × 52.34
  4. Step 4: Simplify right side
    86.42x = 6,791.64
  5. Step 5: Solve for x
    x = 6,791.64/86.42
  6. Step 6: Final answer
    x = 78.59

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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.