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Finding the Fourth Proportional to 152.82, 211.01 and 120.15

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Solution

The fourth proportional to 152.82, 211.01 and 120.15 is: 165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.82 : 211.01 = 120.15 : x
  2. Step 2: Convert to fraction form
    152.82/211.01 = 120.15/x
  3. Step 3: Cross multiply
    152.82x = 211.01 × 120.15
  4. Step 4: Simplify right side
    152.82x = 25,352.25
  5. Step 5: Solve for x
    x = 25,352.25/152.82
  6. Step 6: Final answer
    x = 165.90

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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.