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Finding the Fourth Proportional to 127.81, 176.28 and 105.67

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Solution

The fourth proportional to 127.81, 176.28 and 105.67 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127.81 : 176.28 = 105.67 : x
  2. Step 2: Convert to fraction form
    127.81/176.28 = 105.67/x
  3. Step 3: Cross multiply
    127.81x = 176.28 × 105.67
  4. Step 4: Simplify right side
    127.81x = 18,627.51
  5. Step 5: Solve for x
    x = 18,627.51/127.81
  6. Step 6: Final answer
    x = 145.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.