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Finding the Fourth Proportional to 152.31, 210.09 and 97.08

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Solution

The fourth proportional to 152.31, 210.09 and 97.08 is: 133.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.31 : 210.09 = 97.08 : x
  2. Step 2: Convert to fraction form
    152.31/210.09 = 97.08/x
  3. Step 3: Cross multiply
    152.31x = 210.09 × 97.08
  4. Step 4: Simplify right side
    152.31x = 20,395.54
  5. Step 5: Solve for x
    x = 20,395.54/152.31
  6. Step 6: Final answer
    x = 133.91

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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.