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Finding the Fourth Proportional to 105.53, 157.71 and 99.68

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Solution

The fourth proportional to 105.53, 157.71 and 99.68 is: 148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.53 : 157.71 = 99.68 : x
  2. Step 2: Convert to fraction form
    105.53/157.71 = 99.68/x
  3. Step 3: Cross multiply
    105.53x = 157.71 × 99.68
  4. Step 4: Simplify right side
    105.53x = 15,720.03
  5. Step 5: Solve for x
    x = 15,720.03/105.53
  6. Step 6: Final answer
    x = 148.96

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