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Finding the Fourth Proportional to 103.94, 143.48 and 65.14

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Solution

The fourth proportional to 103.94, 143.48 and 65.14 is: 89.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.94 : 143.48 = 65.14 : x
  2. Step 2: Convert to fraction form
    103.94/143.48 = 65.14/x
  3. Step 3: Cross multiply
    103.94x = 143.48 × 65.14
  4. Step 4: Simplify right side
    103.94x = 9,346.29
  5. Step 5: Solve for x
    x = 9,346.29/103.94
  6. Step 6: Final answer
    x = 89.92

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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.