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Finding the Fourth Proportional to 152.40, 210.38 and 97.14

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Solution

The fourth proportional to 152.40, 210.38 and 97.14 is: 134.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.40 : 210.38 = 97.14 : x
  2. Step 2: Convert to fraction form
    152.40/210.38 = 97.14/x
  3. Step 3: Cross multiply
    152.40x = 210.38 × 97.14
  4. Step 4: Simplify right side
    152.40x = 20,435.83
  5. Step 5: Solve for x
    x = 20,435.83/152.40
  6. Step 6: Final answer
    x = 134.09

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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.