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Finding the Fourth Proportional to 137.10, 204.82 and 106.59

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Solution

The fourth proportional to 137.10, 204.82 and 106.59 is: 159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    137.10 : 204.82 = 106.59 : x
  2. Step 2: Convert to fraction form
    137.10/204.82 = 106.59/x
  3. Step 3: Cross multiply
    137.10x = 204.82 × 106.59
  4. Step 4: Simplify right side
    137.10x = 21,831.76
  5. Step 5: Solve for x
    x = 21,831.76/137.10
  6. Step 6: Final answer
    x = 159.24

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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.