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Finding the Fourth Proportional to 105.32, 145.04 and 84.53

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Solution

The fourth proportional to 105.32, 145.04 and 84.53 is: 116.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.32 : 145.04 = 84.53 : x
  2. Step 2: Convert to fraction form
    105.32/145.04 = 84.53/x
  3. Step 3: Cross multiply
    105.32x = 145.04 × 84.53
  4. Step 4: Simplify right side
    105.32x = 12,260.17
  5. Step 5: Solve for x
    x = 12,260.17/105.32
  6. Step 6: Final answer
    x = 116.41

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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.