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Finding the Fourth Proportional to 101.56, 152.38 and 53.50

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Solution

The fourth proportional to 101.56, 152.38 and 53.50 is: 80.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.56 : 152.38 = 53.50 : x
  2. Step 2: Convert to fraction form
    101.56/152.38 = 53.50/x
  3. Step 3: Cross multiply
    101.56x = 152.38 × 53.50
  4. Step 4: Simplify right side
    101.56x = 8,152.33
  5. Step 5: Solve for x
    x = 8,152.33/101.56
  6. Step 6: Final answer
    x = 80.27

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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.