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Finding the Fourth Proportional to 105.67, 145.65 and 85.02

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Solution

The fourth proportional to 105.67, 145.65 and 85.02 is: 117.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.67 : 145.65 = 85.02 : x
  2. Step 2: Convert to fraction form
    105.67/145.65 = 85.02/x
  3. Step 3: Cross multiply
    105.67x = 145.65 × 85.02
  4. Step 4: Simplify right side
    105.67x = 12,382.46
  5. Step 5: Solve for x
    x = 12,382.46/105.67
  6. Step 6: Final answer
    x = 117.18

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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.