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Finding the Fourth Proportional to 106.33, 159.54 and 45.47

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Solution

The fourth proportional to 106.33, 159.54 and 45.47 is: 68.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.33 : 159.54 = 45.47 : x
  2. Step 2: Convert to fraction form
    106.33/159.54 = 45.47/x
  3. Step 3: Cross multiply
    106.33x = 159.54 × 45.47
  4. Step 4: Simplify right side
    106.33x = 7,254.28
  5. Step 5: Solve for x
    x = 7,254.28/106.33
  6. Step 6: Final answer
    x = 68.22

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Why These Related Problems?

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