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Finding the Fourth Proportional to 77.06, 106.25 and 64.76

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Solution

The fourth proportional to 77.06, 106.25 and 64.76 is: 89.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.06 : 106.25 = 64.76 : x
  2. Step 2: Convert to fraction form
    77.06/106.25 = 64.76/x
  3. Step 3: Cross multiply
    77.06x = 106.25 × 64.76
  4. Step 4: Simplify right side
    77.06x = 6,879.89
  5. Step 5: Solve for x
    x = 6,879.89/77.06
  6. Step 6: Final answer
    x = 89.28

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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.