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Finding the Fourth Proportional to 79.54, 109.82 and 48.53

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Solution

The fourth proportional to 79.54, 109.82 and 48.53 is: 67.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.54 : 109.82 = 48.53 : x
  2. Step 2: Convert to fraction form
    79.54/109.82 = 48.53/x
  3. Step 3: Cross multiply
    79.54x = 109.82 × 48.53
  4. Step 4: Simplify right side
    79.54x = 5,329.96
  5. Step 5: Solve for x
    x = 5,329.96/79.54
  6. Step 6: Final answer
    x = 67.01

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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.