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Finding the Fourth Proportional to 86.93, 120 and 59.32

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Solution

The fourth proportional to 86.93, 120 and 59.32 is: 81.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.93 : 120 = 59.32 : x
  2. Step 2: Convert to fraction form
    86.93/120 = 59.32/x
  3. Step 3: Cross multiply
    86.93x = 120 × 59.32
  4. Step 4: Simplify right side
    86.93x = 7,118.40
  5. Step 5: Solve for x
    x = 7,118.40/86.93
  6. Step 6: Final answer
    x = 81.89

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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.