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Finding the Fourth Proportional to 105.52, 145.64 and 102.12

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Solution

The fourth proportional to 105.52, 145.64 and 102.12 is: 140.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.52 : 145.64 = 102.12 : x
  2. Step 2: Convert to fraction form
    105.52/145.64 = 102.12/x
  3. Step 3: Cross multiply
    105.52x = 145.64 × 102.12
  4. Step 4: Simplify right side
    105.52x = 14,872.76
  5. Step 5: Solve for x
    x = 14,872.76/105.52
  6. Step 6: Final answer
    x = 140.95

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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.