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Finding the Fourth Proportional to 101.84, 152.67 and 47.02

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Solution

The fourth proportional to 101.84, 152.67 and 47.02 is: 70.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.84 : 152.67 = 47.02 : x
  2. Step 2: Convert to fraction form
    101.84/152.67 = 47.02/x
  3. Step 3: Cross multiply
    101.84x = 152.67 × 47.02
  4. Step 4: Simplify right side
    101.84x = 7,178.54
  5. Step 5: Solve for x
    x = 7,178.54/101.84
  6. Step 6: Final answer
    x = 70.49

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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.