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Finding the Fourth Proportional to 105.52, 145.71 and 72.37

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Solution

The fourth proportional to 105.52, 145.71 and 72.37 is: 99.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.52 : 145.71 = 72.37 : x
  2. Step 2: Convert to fraction form
    105.52/145.71 = 72.37/x
  3. Step 3: Cross multiply
    105.52x = 145.71 × 72.37
  4. Step 4: Simplify right side
    105.52x = 10,545.03
  5. Step 5: Solve for x
    x = 10,545.03/105.52
  6. Step 6: Final answer
    x = 99.93

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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.