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Finding the Fourth Proportional to 152.52, 210.24 and 119.72

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Solution

The fourth proportional to 152.52, 210.24 and 119.72 is: 165.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.52 : 210.24 = 119.72 : x
  2. Step 2: Convert to fraction form
    152.52/210.24 = 119.72/x
  3. Step 3: Cross multiply
    152.52x = 210.24 × 119.72
  4. Step 4: Simplify right side
    152.52x = 25,168.88
  5. Step 5: Solve for x
    x = 25,168.88/152.52
  6. Step 6: Final answer
    x = 165.02

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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.