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Finding the Fourth Proportional to 145.39, 200.78 and 106.28

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Solution

The fourth proportional to 145.39, 200.78 and 106.28 is: 146.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.39 : 200.78 = 106.28 : x
  2. Step 2: Convert to fraction form
    145.39/200.78 = 106.28/x
  3. Step 3: Cross multiply
    145.39x = 200.78 × 106.28
  4. Step 4: Simplify right side
    145.39x = 21,338.90
  5. Step 5: Solve for x
    x = 21,338.90/145.39
  6. Step 6: Final answer
    x = 146.77

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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.