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Finding the Fourth Proportional to 145.72, 200.95 and 106.39

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Solution

The fourth proportional to 145.72, 200.95 and 106.39 is: 146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.72 : 200.95 = 106.39 : x
  2. Step 2: Convert to fraction form
    145.72/200.95 = 106.39/x
  3. Step 3: Cross multiply
    145.72x = 200.95 × 106.39
  4. Step 4: Simplify right side
    145.72x = 21,378.25
  5. Step 5: Solve for x
    x = 21,378.25/145.72
  6. Step 6: Final answer
    x = 146.71

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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.