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Finding the Fourth Proportional to 101.86, 152.80 and 37.78

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Solution

The fourth proportional to 101.86, 152.80 and 37.78 is: 56.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.86 : 152.80 = 37.78 : x
  2. Step 2: Convert to fraction form
    101.86/152.80 = 37.78/x
  3. Step 3: Cross multiply
    101.86x = 152.80 × 37.78
  4. Step 4: Simplify right side
    101.86x = 5,772.78
  5. Step 5: Solve for x
    x = 5,772.78/101.86
  6. Step 6: Final answer
    x = 56.67

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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.