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Finding the Fourth Proportional to 101.92, 152.76 and 53.80

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Solution

The fourth proportional to 101.92, 152.76 and 53.80 is: 80.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 152.76 = 53.80 : x
  2. Step 2: Convert to fraction form
    101.92/152.76 = 53.80/x
  3. Step 3: Cross multiply
    101.92x = 152.76 × 53.80
  4. Step 4: Simplify right side
    101.92x = 8,218.49
  5. Step 5: Solve for x
    x = 8,218.49/101.92
  6. Step 6: Final answer
    x = 80.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.