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Finding the Fourth Proportional to 147.65, 203.82 and 106.40

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Solution

The fourth proportional to 147.65, 203.82 and 106.40 is: 146.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.65 : 203.82 = 106.40 : x
  2. Step 2: Convert to fraction form
    147.65/203.82 = 106.40/x
  3. Step 3: Cross multiply
    147.65x = 203.82 × 106.40
  4. Step 4: Simplify right side
    147.65x = 21,686.56
  5. Step 5: Solve for x
    x = 21,686.56/147.65
  6. Step 6: Final answer
    x = 146.88

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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.