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Finding the Fourth Proportional to 105.33, 145.40 and 61.68

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Solution

The fourth proportional to 105.33, 145.40 and 61.68 is: 85.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.33 : 145.40 = 61.68 : x
  2. Step 2: Convert to fraction form
    105.33/145.40 = 61.68/x
  3. Step 3: Cross multiply
    105.33x = 145.40 × 61.68
  4. Step 4: Simplify right side
    105.33x = 8,967.96
  5. Step 5: Solve for x
    x = 8,967.96/105.33
  6. Step 6: Final answer
    x = 85.14

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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.