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Finding the Fourth Proportional to 76.77, 105.71 and 69.03

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Solution

The fourth proportional to 76.77, 105.71 and 69.03 is: 95.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.77 : 105.71 = 69.03 : x
  2. Step 2: Convert to fraction form
    76.77/105.71 = 69.03/x
  3. Step 3: Cross multiply
    76.77x = 105.71 × 69.03
  4. Step 4: Simplify right side
    76.77x = 7,296.82
  5. Step 5: Solve for x
    x = 7,296.82/76.77
  6. Step 6: Final answer
    x = 95.05

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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.