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Finding the Fourth Proportional to 152.81, 229.21 and 101.78

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Solution

The fourth proportional to 152.81, 229.21 and 101.78 is: 152.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.81 : 229.21 = 101.78 : x
  2. Step 2: Convert to fraction form
    152.81/229.21 = 101.78/x
  3. Step 3: Cross multiply
    152.81x = 229.21 × 101.78
  4. Step 4: Simplify right side
    152.81x = 23,328.99
  5. Step 5: Solve for x
    x = 23,328.99/152.81
  6. Step 6: Final answer
    x = 152.67

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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.