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Finding the Fourth Proportional to 152.25, 210.11 and 83.25

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Solution

The fourth proportional to 152.25, 210.11 and 83.25 is: 114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.25 : 210.11 = 83.25 : x
  2. Step 2: Convert to fraction form
    152.25/210.11 = 83.25/x
  3. Step 3: Cross multiply
    152.25x = 210.11 × 83.25
  4. Step 4: Simplify right side
    152.25x = 17,491.24
  5. Step 5: Solve for x
    x = 17,491.24/152.25
  6. Step 6: Final answer
    x = 114.89

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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.