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Finding the Fourth Proportional to 101.53, 152.23 and 52.80

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Solution

The fourth proportional to 101.53, 152.23 and 52.80 is: 79.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.53 : 152.23 = 52.80 : x
  2. Step 2: Convert to fraction form
    101.53/152.23 = 52.80/x
  3. Step 3: Cross multiply
    101.53x = 152.23 × 52.80
  4. Step 4: Simplify right side
    101.53x = 8,037.48
  5. Step 5: Solve for x
    x = 8,037.48/101.53
  6. Step 6: Final answer
    x = 79.16

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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.