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Finding the Fourth Proportional to 109.65, 151.35 and 65.97

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Solution

The fourth proportional to 109.65, 151.35 and 65.97 is: 91.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.65 : 151.35 = 65.97 : x
  2. Step 2: Convert to fraction form
    109.65/151.35 = 65.97/x
  3. Step 3: Cross multiply
    109.65x = 151.35 × 65.97
  4. Step 4: Simplify right side
    109.65x = 9,984.94
  5. Step 5: Solve for x
    x = 9,984.94/109.65
  6. Step 6: Final answer
    x = 91.07

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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.