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Finding the Fourth Proportional to 152.46, 210.30 and 97.20

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Solution

The fourth proportional to 152.46, 210.30 and 97.20 is: 134.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.46 : 210.30 = 97.20 : x
  2. Step 2: Convert to fraction form
    152.46/210.30 = 97.20/x
  3. Step 3: Cross multiply
    152.46x = 210.30 × 97.20
  4. Step 4: Simplify right side
    152.46x = 20,441.16
  5. Step 5: Solve for x
    x = 20,441.16/152.46
  6. Step 6: Final answer
    x = 134.08

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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.