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Finding the Fourth Proportional to 105.15, 145.08 and 61.49

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Solution

The fourth proportional to 105.15, 145.08 and 61.49 is: 84.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.15 : 145.08 = 61.49 : x
  2. Step 2: Convert to fraction form
    105.15/145.08 = 61.49/x
  3. Step 3: Cross multiply
    105.15x = 145.08 × 61.49
  4. Step 4: Simplify right side
    105.15x = 8,920.97
  5. Step 5: Solve for x
    x = 8,920.97/105.15
  6. Step 6: Final answer
    x = 84.84

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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.