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Finding the Fourth Proportional to 77.66, 116.42 and 37.06

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Solution

The fourth proportional to 77.66, 116.42 and 37.06 is: 55.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.66 : 116.42 = 37.06 : x
  2. Step 2: Convert to fraction form
    77.66/116.42 = 37.06/x
  3. Step 3: Cross multiply
    77.66x = 116.42 × 37.06
  4. Step 4: Simplify right side
    77.66x = 4,314.53
  5. Step 5: Solve for x
    x = 4,314.53/77.66
  6. Step 6: Final answer
    x = 55.56

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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.