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Finding the Fourth Proportional to 152.89, 210.91 and 97.54

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Solution

The fourth proportional to 152.89, 210.91 and 97.54 is: 134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.89 : 210.91 = 97.54 : x
  2. Step 2: Convert to fraction form
    152.89/210.91 = 97.54/x
  3. Step 3: Cross multiply
    152.89x = 210.91 × 97.54
  4. Step 4: Simplify right side
    152.89x = 20,572.16
  5. Step 5: Solve for x
    x = 20,572.16/152.89
  6. Step 6: Final answer
    x = 134.56

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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.