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Finding the Fourth Proportional to 144.61, 199.54 and 89.35

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Solution

The fourth proportional to 144.61, 199.54 and 89.35 is: 123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.61 : 199.54 = 89.35 : x
  2. Step 2: Convert to fraction form
    144.61/199.54 = 89.35/x
  3. Step 3: Cross multiply
    144.61x = 199.54 × 89.35
  4. Step 4: Simplify right side
    144.61x = 17,828.90
  5. Step 5: Solve for x
    x = 17,828.90/144.61
  6. Step 6: Final answer
    x = 123.29

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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.