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Finding the Fourth Proportional to 76.17, 114.22 and 70.90

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Solution

The fourth proportional to 76.17, 114.22 and 70.90 is: 106.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.17 : 114.22 = 70.90 : x
  2. Step 2: Convert to fraction form
    76.17/114.22 = 70.90/x
  3. Step 3: Cross multiply
    76.17x = 114.22 × 70.90
  4. Step 4: Simplify right side
    76.17x = 8,098.20
  5. Step 5: Solve for x
    x = 8,098.20/76.17
  6. Step 6: Final answer
    x = 106.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.