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Finding the Fourth Proportional to 105.90, 145.96 and 85.14

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Solution

The fourth proportional to 105.90, 145.96 and 85.14 is: 117.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.90 : 145.96 = 85.14 : x
  2. Step 2: Convert to fraction form
    105.90/145.96 = 85.14/x
  3. Step 3: Cross multiply
    105.90x = 145.96 × 85.14
  4. Step 4: Simplify right side
    105.90x = 12,426.61
  5. Step 5: Solve for x
    x = 12,426.61/105.90
  6. Step 6: Final answer
    x = 117.34

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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.