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Finding the Fourth Proportional to 85.48, 117.58 and 82.14

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Solution

The fourth proportional to 85.48, 117.58 and 82.14 is: 112.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.48 : 117.58 = 82.14 : x
  2. Step 2: Convert to fraction form
    85.48/117.58 = 82.14/x
  3. Step 3: Cross multiply
    85.48x = 117.58 × 82.14
  4. Step 4: Simplify right side
    85.48x = 9,658.02
  5. Step 5: Solve for x
    x = 9,658.02/85.48
  6. Step 6: Final answer
    x = 112.99

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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.