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Finding the Fourth Proportional to 101.99, 152.13 and 99.83

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Solution

The fourth proportional to 101.99, 152.13 and 99.83 is: 148.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.99 : 152.13 = 99.83 : x
  2. Step 2: Convert to fraction form
    101.99/152.13 = 99.83/x
  3. Step 3: Cross multiply
    101.99x = 152.13 × 99.83
  4. Step 4: Simplify right side
    101.99x = 15,187.14
  5. Step 5: Solve for x
    x = 15,187.14/101.99
  6. Step 6: Final answer
    x = 148.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.