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Finding the Fourth Proportional to 152.26, 209.64 and 121.07

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Solution

The fourth proportional to 152.26, 209.64 and 121.07 is: 166.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.26 : 209.64 = 121.07 : x
  2. Step 2: Convert to fraction form
    152.26/209.64 = 121.07/x
  3. Step 3: Cross multiply
    152.26x = 209.64 × 121.07
  4. Step 4: Simplify right side
    152.26x = 25,381.11
  5. Step 5: Solve for x
    x = 25,381.11/152.26
  6. Step 6: Final answer
    x = 166.70

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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.