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Finding the Fourth Proportional to 106.71, 146.28 and 106.53

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Solution

The fourth proportional to 106.71, 146.28 and 106.53 is: 146.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.71 : 146.28 = 106.53 : x
  2. Step 2: Convert to fraction form
    106.71/146.28 = 106.53/x
  3. Step 3: Cross multiply
    106.71x = 146.28 × 106.53
  4. Step 4: Simplify right side
    106.71x = 15,583.21
  5. Step 5: Solve for x
    x = 15,583.21/106.71
  6. Step 6: Final answer
    x = 146.03

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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.