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Finding the Fourth Proportional to 84.37, 116.35 and 59.89

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Solution

The fourth proportional to 84.37, 116.35 and 59.89 is: 82.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.37 : 116.35 = 59.89 : x
  2. Step 2: Convert to fraction form
    84.37/116.35 = 59.89/x
  3. Step 3: Cross multiply
    84.37x = 116.35 × 59.89
  4. Step 4: Simplify right side
    84.37x = 6,967.76
  5. Step 5: Solve for x
    x = 6,967.76/84.37
  6. Step 6: Final answer
    x = 82.59

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