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Finding the Fourth Proportional to 82.58, 123.88 and 61.34

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Solution

The fourth proportional to 82.58, 123.88 and 61.34 is: 92.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.58 : 123.88 = 61.34 : x
  2. Step 2: Convert to fraction form
    82.58/123.88 = 61.34/x
  3. Step 3: Cross multiply
    82.58x = 123.88 × 61.34
  4. Step 4: Simplify right side
    82.58x = 7,598.80
  5. Step 5: Solve for x
    x = 7,598.80/82.58
  6. Step 6: Final answer
    x = 92.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.