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Finding the Fourth Proportional to 82.19, 113.31 and 55.93

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Solution

The fourth proportional to 82.19, 113.31 and 55.93 is: 77.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.19 : 113.31 = 55.93 : x
  2. Step 2: Convert to fraction form
    82.19/113.31 = 55.93/x
  3. Step 3: Cross multiply
    82.19x = 113.31 × 55.93
  4. Step 4: Simplify right side
    82.19x = 6,337.14
  5. Step 5: Solve for x
    x = 6,337.14/82.19
  6. Step 6: Final answer
    x = 77.10

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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.