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Finding the Fourth Proportional to 152.49, 210.54 and 97.20

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Solution

The fourth proportional to 152.49, 210.54 and 97.20 is: 134.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.49 : 210.54 = 97.20 : x
  2. Step 2: Convert to fraction form
    152.49/210.54 = 97.20/x
  3. Step 3: Cross multiply
    152.49x = 210.54 × 97.20
  4. Step 4: Simplify right side
    152.49x = 20,464.49
  5. Step 5: Solve for x
    x = 20,464.49/152.49
  6. Step 6: Final answer
    x = 134.20

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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.