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Finding the Fourth Proportional to 77.09, 106.37 and 52.53

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Solution

The fourth proportional to 77.09, 106.37 and 52.53 is: 72.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 106.37 = 52.53 : x
  2. Step 2: Convert to fraction form
    77.09/106.37 = 52.53/x
  3. Step 3: Cross multiply
    77.09x = 106.37 × 52.53
  4. Step 4: Simplify right side
    77.09x = 5,587.62
  5. Step 5: Solve for x
    x = 5,587.62/77.09
  6. Step 6: Final answer
    x = 72.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.