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Finding the Fourth Proportional to 82.48, 113.71 and 56.20

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Solution

The fourth proportional to 82.48, 113.71 and 56.20 is: 77.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.48 : 113.71 = 56.20 : x
  2. Step 2: Convert to fraction form
    82.48/113.71 = 56.20/x
  3. Step 3: Cross multiply
    82.48x = 113.71 × 56.20
  4. Step 4: Simplify right side
    82.48x = 6,390.50
  5. Step 5: Solve for x
    x = 6,390.50/82.48
  6. Step 6: Final answer
    x = 77.48

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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.