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Finding the Fourth Proportional to 109.49, 150.96 and 89.75

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Solution

The fourth proportional to 109.49, 150.96 and 89.75 is: 123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.49 : 150.96 = 89.75 : x
  2. Step 2: Convert to fraction form
    109.49/150.96 = 89.75/x
  3. Step 3: Cross multiply
    109.49x = 150.96 × 89.75
  4. Step 4: Simplify right side
    109.49x = 13,547.91
  5. Step 5: Solve for x
    x = 13,547.91/109.49
  6. Step 6: Final answer
    x = 123.74

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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.