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Finding the Fourth Proportional to 101.54, 152.35 and 47.41

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Solution

The fourth proportional to 101.54, 152.35 and 47.41 is: 71.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.54 : 152.35 = 47.41 : x
  2. Step 2: Convert to fraction form
    101.54/152.35 = 47.41/x
  3. Step 3: Cross multiply
    101.54x = 152.35 × 47.41
  4. Step 4: Simplify right side
    101.54x = 7,222.41
  5. Step 5: Solve for x
    x = 7,222.41/101.54
  6. Step 6: Final answer
    x = 71.13

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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.