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Finding the Fourth Proportional to 105.41, 157.52 and 99.56

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Solution

The fourth proportional to 105.41, 157.52 and 99.56 is: 148.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.41 : 157.52 = 99.56 : x
  2. Step 2: Convert to fraction form
    105.41/157.52 = 99.56/x
  3. Step 3: Cross multiply
    105.41x = 157.52 × 99.56
  4. Step 4: Simplify right side
    105.41x = 15,681.78
  5. Step 5: Solve for x
    x = 15,681.78/105.41
  6. Step 6: Final answer
    x = 148.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.