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Finding the Fourth Proportional to 104.57, 144.28 and 65.23

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Solution

The fourth proportional to 104.57, 144.28 and 65.23 is: 90.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.57 : 144.28 = 65.23 : x
  2. Step 2: Convert to fraction form
    104.57/144.28 = 65.23/x
  3. Step 3: Cross multiply
    104.57x = 144.28 × 65.23
  4. Step 4: Simplify right side
    104.57x = 9,411.38
  5. Step 5: Solve for x
    x = 9,411.38/104.57
  6. Step 6: Final answer
    x = 90.00

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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.