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Finding the Fourth Proportional to 75.72, 103.57 and 74.53

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Solution

The fourth proportional to 75.72, 103.57 and 74.53 is: 101.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.72 : 103.57 = 74.53 : x
  2. Step 2: Convert to fraction form
    75.72/103.57 = 74.53/x
  3. Step 3: Cross multiply
    75.72x = 103.57 × 74.53
  4. Step 4: Simplify right side
    75.72x = 7,718.81
  5. Step 5: Solve for x
    x = 7,718.81/75.72
  6. Step 6: Final answer
    x = 101.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.