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Finding the Fourth Proportional to 152.80, 229.34 and 70.57

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Solution

The fourth proportional to 152.80, 229.34 and 70.57 is: 105.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.80 : 229.34 = 70.57 : x
  2. Step 2: Convert to fraction form
    152.80/229.34 = 70.57/x
  3. Step 3: Cross multiply
    152.80x = 229.34 × 70.57
  4. Step 4: Simplify right side
    152.80x = 16,184.52
  5. Step 5: Solve for x
    x = 16,184.52/152.80
  6. Step 6: Final answer
    x = 105.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.