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Finding the Fourth Proportional to 86.93, 120 and 59.39

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Solution

The fourth proportional to 86.93, 120 and 59.39 is: 81.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.93 : 120 = 59.39 : x
  2. Step 2: Convert to fraction form
    86.93/120 = 59.39/x
  3. Step 3: Cross multiply
    86.93x = 120 × 59.39
  4. Step 4: Simplify right side
    86.93x = 7,126.80
  5. Step 5: Solve for x
    x = 7,126.80/86.93
  6. Step 6: Final answer
    x = 81.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.