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Finding the Fourth Proportional to 152.23, 210.09 and 86.74

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Solution

The fourth proportional to 152.23, 210.09 and 86.74 is: 119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.23 : 210.09 = 86.74 : x
  2. Step 2: Convert to fraction form
    152.23/210.09 = 86.74/x
  3. Step 3: Cross multiply
    152.23x = 210.09 × 86.74
  4. Step 4: Simplify right side
    152.23x = 18,223.21
  5. Step 5: Solve for x
    x = 18,223.21/152.23
  6. Step 6: Final answer
    x = 119.71

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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.