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Finding the Fourth Proportional to 109.67, 151.31 and 65.40

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Solution

The fourth proportional to 109.67, 151.31 and 65.40 is: 90.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.67 : 151.31 = 65.40 : x
  2. Step 2: Convert to fraction form
    109.67/151.31 = 65.40/x
  3. Step 3: Cross multiply
    109.67x = 151.31 × 65.40
  4. Step 4: Simplify right side
    109.67x = 9,895.84
  5. Step 5: Solve for x
    x = 9,895.84/109.67
  6. Step 6: Final answer
    x = 90.23

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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.