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Finding the Fourth Proportional to 145.40, 200.67 and 106.19

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Solution

The fourth proportional to 145.40, 200.67 and 106.19 is: 146.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.40 : 200.67 = 106.19 : x
  2. Step 2: Convert to fraction form
    145.40/200.67 = 106.19/x
  3. Step 3: Cross multiply
    145.40x = 200.67 × 106.19
  4. Step 4: Simplify right side
    145.40x = 21,309.15
  5. Step 5: Solve for x
    x = 21,309.15/145.40
  6. Step 6: Final answer
    x = 146.56

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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.