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Finding the Fourth Proportional to 86.78, 130.21 and 62.93

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Solution

The fourth proportional to 86.78, 130.21 and 62.93 is: 94.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.78 : 130.21 = 62.93 : x
  2. Step 2: Convert to fraction form
    86.78/130.21 = 62.93/x
  3. Step 3: Cross multiply
    86.78x = 130.21 × 62.93
  4. Step 4: Simplify right side
    86.78x = 8,193.87
  5. Step 5: Solve for x
    x = 8,193.87/86.78
  6. Step 6: Final answer
    x = 94.42

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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.