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Finding the Fourth Proportional to 76.70, 114.48 and 71.57

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Solution

The fourth proportional to 76.70, 114.48 and 71.57 is: 106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.70 : 114.48 = 71.57 : x
  2. Step 2: Convert to fraction form
    76.70/114.48 = 71.57/x
  3. Step 3: Cross multiply
    76.70x = 114.48 × 71.57
  4. Step 4: Simplify right side
    76.70x = 8,192.98
  5. Step 5: Solve for x
    x = 8,192.98/76.70
  6. Step 6: Final answer
    x = 106.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.