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Finding the Fourth Proportional to 105.40, 145.32 and 75.88

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Solution

The fourth proportional to 105.40, 145.32 and 75.88 is: 104.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.40 : 145.32 = 75.88 : x
  2. Step 2: Convert to fraction form
    105.40/145.32 = 75.88/x
  3. Step 3: Cross multiply
    105.40x = 145.32 × 75.88
  4. Step 4: Simplify right side
    105.40x = 11,026.88
  5. Step 5: Solve for x
    x = 11,026.88/105.40
  6. Step 6: Final answer
    x = 104.62

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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.