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Finding the Fourth Proportional to 152.57, 210.38 and 97.34

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Solution

The fourth proportional to 152.57, 210.38 and 97.34 is: 134.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.57 : 210.38 = 97.34 : x
  2. Step 2: Convert to fraction form
    152.57/210.38 = 97.34/x
  3. Step 3: Cross multiply
    152.57x = 210.38 × 97.34
  4. Step 4: Simplify right side
    152.57x = 20,477.58
  5. Step 5: Solve for x
    x = 20,477.58/152.57
  6. Step 6: Final answer
    x = 134.22

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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.