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Finding the Fourth Proportional to 82.78, 114.12 and 58.18

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Solution

The fourth proportional to 82.78, 114.12 and 58.18 is: 80.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.78 : 114.12 = 58.18 : x
  2. Step 2: Convert to fraction form
    82.78/114.12 = 58.18/x
  3. Step 3: Cross multiply
    82.78x = 114.12 × 58.18
  4. Step 4: Simplify right side
    82.78x = 6,639.50
  5. Step 5: Solve for x
    x = 6,639.50/82.78
  6. Step 6: Final answer
    x = 80.21

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Why These Related Problems?

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