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Finding the Fourth Proportional to 76.53, 114.14 and 75.54

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Solution

The fourth proportional to 76.53, 114.14 and 75.54 is: 112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.53 : 114.14 = 75.54 : x
  2. Step 2: Convert to fraction form
    76.53/114.14 = 75.54/x
  3. Step 3: Cross multiply
    76.53x = 114.14 × 75.54
  4. Step 4: Simplify right side
    76.53x = 8,621.76
  5. Step 5: Solve for x
    x = 8,621.76/76.53
  6. Step 6: Final answer
    x = 112.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.