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Finding the Fourth Proportional to 75.53, 103.58 and 72.41

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Solution

The fourth proportional to 75.53, 103.58 and 72.41 is: 99.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.53 : 103.58 = 72.41 : x
  2. Step 2: Convert to fraction form
    75.53/103.58 = 72.41/x
  3. Step 3: Cross multiply
    75.53x = 103.58 × 72.41
  4. Step 4: Simplify right side
    75.53x = 7,499.87
  5. Step 5: Solve for x
    x = 7,499.87/75.53
  6. Step 6: Final answer
    x = 99.30

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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.