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Finding the Fourth Proportional to 152.14, 227.98 and 70.89

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Solution

The fourth proportional to 152.14, 227.98 and 70.89 is: 106.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.14 : 227.98 = 70.89 : x
  2. Step 2: Convert to fraction form
    152.14/227.98 = 70.89/x
  3. Step 3: Cross multiply
    152.14x = 227.98 × 70.89
  4. Step 4: Simplify right side
    152.14x = 16,160.76
  5. Step 5: Solve for x
    x = 16,160.76/152.14
  6. Step 6: Final answer
    x = 106.22

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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.