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Finding the Fourth Proportional to 77.10, 114.09 and 77.10

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Solution

The fourth proportional to 77.10, 114.09 and 77.10 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.10 : 114.09 = 77.10 : x
  2. Step 2: Convert to fraction form
    77.10/114.09 = 77.10/x
  3. Step 3: Cross multiply
    77.10x = 114.09 × 77.10
  4. Step 4: Simplify right side
    77.10x = 8,796.34
  5. Step 5: Solve for x
    x = 8,796.34/77.10
  6. Step 6: Final answer
    x = 114.09

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.