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Finding the Fourth Proportional to 105.53, 157.46 and 102.02

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Solution

The fourth proportional to 105.53, 157.46 and 102.02 is: 152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.53 : 157.46 = 102.02 : x
  2. Step 2: Convert to fraction form
    105.53/157.46 = 102.02/x
  3. Step 3: Cross multiply
    105.53x = 157.46 × 102.02
  4. Step 4: Simplify right side
    105.53x = 16,062.77
  5. Step 5: Solve for x
    x = 16,062.77/105.53
  6. Step 6: Final answer
    x = 152.22

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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.