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Finding the Fourth Proportional to 70.77, 106.19 and 25.17

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Solution

The fourth proportional to 70.77, 106.19 and 25.17 is: 37.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.77 : 106.19 = 25.17 : x
  2. Step 2: Convert to fraction form
    70.77/106.19 = 25.17/x
  3. Step 3: Cross multiply
    70.77x = 106.19 × 25.17
  4. Step 4: Simplify right side
    70.77x = 2,672.80
  5. Step 5: Solve for x
    x = 2,672.80/70.77
  6. Step 6: Final answer
    x = 37.77

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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.