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Finding the Fourth Proportional to 101.29, 151.83 and 53.14

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Solution

The fourth proportional to 101.29, 151.83 and 53.14 is: 79.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.29 : 151.83 = 53.14 : x
  2. Step 2: Convert to fraction form
    101.29/151.83 = 53.14/x
  3. Step 3: Cross multiply
    101.29x = 151.83 × 53.14
  4. Step 4: Simplify right side
    101.29x = 8,068.25
  5. Step 5: Solve for x
    x = 8,068.25/101.29
  6. Step 6: Final answer
    x = 79.65

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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.