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Finding the Fourth Proportional to 152.96, 210.90 and 109.22

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Solution

The fourth proportional to 152.96, 210.90 and 109.22 is: 150.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.96 : 210.90 = 109.22 : x
  2. Step 2: Convert to fraction form
    152.96/210.90 = 109.22/x
  3. Step 3: Cross multiply
    152.96x = 210.90 × 109.22
  4. Step 4: Simplify right side
    152.96x = 23,034.50
  5. Step 5: Solve for x
    x = 23,034.50/152.96
  6. Step 6: Final answer
    x = 150.59

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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.