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Finding the Fourth Proportional to 105.15, 145.06 and 61.48

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Solution

The fourth proportional to 105.15, 145.06 and 61.48 is: 84.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.15 : 145.06 = 61.48 : x
  2. Step 2: Convert to fraction form
    105.15/145.06 = 61.48/x
  3. Step 3: Cross multiply
    105.15x = 145.06 × 61.48
  4. Step 4: Simplify right side
    105.15x = 8,918.29
  5. Step 5: Solve for x
    x = 8,918.29/105.15
  6. Step 6: Final answer
    x = 84.81

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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.