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Finding the Fourth Proportional to 105.76, 145.66 and 87.33

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Solution

The fourth proportional to 105.76, 145.66 and 87.33 is: 120.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.76 : 145.66 = 87.33 : x
  2. Step 2: Convert to fraction form
    105.76/145.66 = 87.33/x
  3. Step 3: Cross multiply
    105.76x = 145.66 × 87.33
  4. Step 4: Simplify right side
    105.76x = 12,720.49
  5. Step 5: Solve for x
    x = 12,720.49/105.76
  6. Step 6: Final answer
    x = 120.28

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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.