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Finding the Fourth Proportional to 104.02, 143.53 and 65.19

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Solution

The fourth proportional to 104.02, 143.53 and 65.19 is: 89.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.02 : 143.53 = 65.19 : x
  2. Step 2: Convert to fraction form
    104.02/143.53 = 65.19/x
  3. Step 3: Cross multiply
    104.02x = 143.53 × 65.19
  4. Step 4: Simplify right side
    104.02x = 9,356.36
  5. Step 5: Solve for x
    x = 9,356.36/104.02
  6. Step 6: Final answer
    x = 89.95

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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.