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Finding the Fourth Proportional to 82.64, 114.18 and 59.42

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Solution

The fourth proportional to 82.64, 114.18 and 59.42 is: 82.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 114.18 = 59.42 : x
  2. Step 2: Convert to fraction form
    82.64/114.18 = 59.42/x
  3. Step 3: Cross multiply
    82.64x = 114.18 × 59.42
  4. Step 4: Simplify right side
    82.64x = 6,784.58
  5. Step 5: Solve for x
    x = 6,784.58/82.64
  6. Step 6: Final answer
    x = 82.10

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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.