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Finding the Fourth Proportional to 76.16, 113.78 and 71.10

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Solution

The fourth proportional to 76.16, 113.78 and 71.10 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 113.78 = 71.10 : x
  2. Step 2: Convert to fraction form
    76.16/113.78 = 71.10/x
  3. Step 3: Cross multiply
    76.16x = 113.78 × 71.10
  4. Step 4: Simplify right side
    76.16x = 8,089.94
  5. Step 5: Solve for x
    x = 8,089.94/76.16
  6. Step 6: Final answer
    x = 106.22

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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.