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Finding the Fourth Proportional to 75.77, 104.55 and 42.58

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Solution

The fourth proportional to 75.77, 104.55 and 42.58 is: 58.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.77 : 104.55 = 42.58 : x
  2. Step 2: Convert to fraction form
    75.77/104.55 = 42.58/x
  3. Step 3: Cross multiply
    75.77x = 104.55 × 42.58
  4. Step 4: Simplify right side
    75.77x = 4,451.48
  5. Step 5: Solve for x
    x = 4,451.48/75.77
  6. Step 6: Final answer
    x = 58.75

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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.