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Finding the Fourth Proportional to 152.80, 210.97 and 96.81

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Solution

The fourth proportional to 152.80, 210.97 and 96.81 is: 133.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.80 : 210.97 = 96.81 : x
  2. Step 2: Convert to fraction form
    152.80/210.97 = 96.81/x
  3. Step 3: Cross multiply
    152.80x = 210.97 × 96.81
  4. Step 4: Simplify right side
    152.80x = 20,424.01
  5. Step 5: Solve for x
    x = 20,424.01/152.80
  6. Step 6: Final answer
    x = 133.66

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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.