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Finding the Fourth Proportional to 152.14, 210 and 96.91

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Solution

The fourth proportional to 152.14, 210 and 96.91 is: 133.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.14 : 210 = 96.91 : x
  2. Step 2: Convert to fraction form
    152.14/210 = 96.91/x
  3. Step 3: Cross multiply
    152.14x = 210 × 96.91
  4. Step 4: Simplify right side
    152.14x = 20,351.10
  5. Step 5: Solve for x
    x = 20,351.10/152.14
  6. Step 6: Final answer
    x = 133.77

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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.