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Finding the Fourth Proportional to 101.84, 152.76 and 47.78

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Solution

The fourth proportional to 101.84, 152.76 and 47.78 is: 71.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 152.76 = 47.78 : x
  2. Step 2: Convert to fraction form
    101.84/152.76 = 47.78/x
  3. Step 3: Cross multiply
    101.84x = 152.76 × 47.78
  4. Step 4: Simplify right side
    101.84x = 7,298.87
  5. Step 5: Solve for x
    x = 7,298.87/101.84
  6. Step 6: Final answer
    x = 71.67

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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.