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Finding the Fourth Proportional to 152.54, 210.41 and 97.18

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Solution

The fourth proportional to 152.54, 210.41 and 97.18 is: 134.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.54 : 210.41 = 97.18 : x
  2. Step 2: Convert to fraction form
    152.54/210.41 = 97.18/x
  3. Step 3: Cross multiply
    152.54x = 210.41 × 97.18
  4. Step 4: Simplify right side
    152.54x = 20,447.36
  5. Step 5: Solve for x
    x = 20,447.36/152.54
  6. Step 6: Final answer
    x = 134.05

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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.