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Finding the Fourth Proportional to 110.84, 153.09 and 89.17

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Solution

The fourth proportional to 110.84, 153.09 and 89.17 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.84 : 153.09 = 89.17 : x
  2. Step 2: Convert to fraction form
    110.84/153.09 = 89.17/x
  3. Step 3: Cross multiply
    110.84x = 153.09 × 89.17
  4. Step 4: Simplify right side
    110.84x = 13,650.65
  5. Step 5: Solve for x
    x = 13,650.65/110.84
  6. Step 6: Final answer
    x = 123.16

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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.