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Finding the Fourth Proportional to 104.61, 144.34 and 65.28

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Solution

The fourth proportional to 104.61, 144.34 and 65.28 is: 90.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.61 : 144.34 = 65.28 : x
  2. Step 2: Convert to fraction form
    104.61/144.34 = 65.28/x
  3. Step 3: Cross multiply
    104.61x = 144.34 × 65.28
  4. Step 4: Simplify right side
    104.61x = 9,422.52
  5. Step 5: Solve for x
    x = 9,422.52/104.61
  6. Step 6: Final answer
    x = 90.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.