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Finding the Fourth Proportional to 76.57, 105.66 and 42.07

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Solution

The fourth proportional to 76.57, 105.66 and 42.07 is: 58.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 105.66 = 42.07 : x
  2. Step 2: Convert to fraction form
    76.57/105.66 = 42.07/x
  3. Step 3: Cross multiply
    76.57x = 105.66 × 42.07
  4. Step 4: Simplify right side
    76.57x = 4,444.38
  5. Step 5: Solve for x
    x = 4,444.38/76.57
  6. Step 6: Final answer
    x = 58.05

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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.