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Finding the Fourth Proportional to 152.14, 209.90 and 105.50

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Solution

The fourth proportional to 152.14, 209.90 and 105.50 is: 145.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.14 : 209.90 = 105.50 : x
  2. Step 2: Convert to fraction form
    152.14/209.90 = 105.50/x
  3. Step 3: Cross multiply
    152.14x = 209.90 × 105.50
  4. Step 4: Simplify right side
    152.14x = 22,144.45
  5. Step 5: Solve for x
    x = 22,144.45/152.14
  6. Step 6: Final answer
    x = 145.55

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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.