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Finding the Fourth Proportional to 70.25, 96.88 and 45.65

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Solution

The fourth proportional to 70.25, 96.88 and 45.65 is: 62.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.25 : 96.88 = 45.65 : x
  2. Step 2: Convert to fraction form
    70.25/96.88 = 45.65/x
  3. Step 3: Cross multiply
    70.25x = 96.88 × 45.65
  4. Step 4: Simplify right side
    70.25x = 4,421.97
  5. Step 5: Solve for x
    x = 4,421.97/70.25
  6. Step 6: Final answer
    x = 62.95

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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.