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Finding the Fourth Proportional to 105.65, 145.82 and 97.95

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Solution

The fourth proportional to 105.65, 145.82 and 97.95 is: 135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.65 : 145.82 = 97.95 : x
  2. Step 2: Convert to fraction form
    105.65/145.82 = 97.95/x
  3. Step 3: Cross multiply
    105.65x = 145.82 × 97.95
  4. Step 4: Simplify right side
    105.65x = 14,283.31
  5. Step 5: Solve for x
    x = 14,283.31/105.65
  6. Step 6: Final answer
    x = 135.20

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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.