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Finding the Fourth Proportional to 71.19, 97.83 and 56.61

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Solution

The fourth proportional to 71.19, 97.83 and 56.61 is: 77.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.19 : 97.83 = 56.61 : x
  2. Step 2: Convert to fraction form
    71.19/97.83 = 56.61/x
  3. Step 3: Cross multiply
    71.19x = 97.83 × 56.61
  4. Step 4: Simplify right side
    71.19x = 5,538.16
  5. Step 5: Solve for x
    x = 5,538.16/71.19
  6. Step 6: Final answer
    x = 77.79

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.