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Finding the Fourth Proportional to 152.41, 210.09 and 97.13

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Solution

The fourth proportional to 152.41, 210.09 and 97.13 is: 133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.41 : 210.09 = 97.13 : x
  2. Step 2: Convert to fraction form
    152.41/210.09 = 97.13/x
  3. Step 3: Cross multiply
    152.41x = 210.09 × 97.13
  4. Step 4: Simplify right side
    152.41x = 20,406.04
  5. Step 5: Solve for x
    x = 20,406.04/152.41
  6. Step 6: Final answer
    x = 133.89

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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.