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Finding the Fourth Proportional to 101.05, 151.34 and 46.83

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Solution

The fourth proportional to 101.05, 151.34 and 46.83 is: 70.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.05 : 151.34 = 46.83 : x
  2. Step 2: Convert to fraction form
    101.05/151.34 = 46.83/x
  3. Step 3: Cross multiply
    101.05x = 151.34 × 46.83
  4. Step 4: Simplify right side
    101.05x = 7,087.13
  5. Step 5: Solve for x
    x = 7,087.13/101.05
  6. Step 6: Final answer
    x = 70.14

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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.