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Finding the Fourth Proportional to 77.51, 106.98 and 52.66

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Solution

The fourth proportional to 77.51, 106.98 and 52.66 is: 72.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.51 : 106.98 = 52.66 : x
  2. Step 2: Convert to fraction form
    77.51/106.98 = 52.66/x
  3. Step 3: Cross multiply
    77.51x = 106.98 × 52.66
  4. Step 4: Simplify right side
    77.51x = 5,633.26
  5. Step 5: Solve for x
    x = 5,633.26/77.51
  6. Step 6: Final answer
    x = 72.68

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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.