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Finding the Fourth Proportional to 77.02, 106.34 and 59.50

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Solution

The fourth proportional to 77.02, 106.34 and 59.50 is: 82.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.02 : 106.34 = 59.50 : x
  2. Step 2: Convert to fraction form
    77.02/106.34 = 59.50/x
  3. Step 3: Cross multiply
    77.02x = 106.34 × 59.50
  4. Step 4: Simplify right side
    77.02x = 6,326.67
  5. Step 5: Solve for x
    x = 6,326.67/77.02
  6. Step 6: Final answer
    x = 82.15

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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.