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Finding the Fourth Proportional to 152, 209.72 and 105.56

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Solution

The fourth proportional to 152, 209.72 and 105.56 is: 145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    152 : 209.72 = 105.56 : x
  2. Step 2: Convert to fraction form
    152/209.72 = 105.56/x
  3. Step 3: Cross multiply
    152x = 209.72 × 105.56
  4. Step 4: Simplify right side
    152x = 22,138.04
  5. Step 5: Solve for x
    x = 22,138.04/152
  6. Step 6: Final answer
    x = 145.65

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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.