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Finding the Fourth Proportional to 52.99, 79.64 and 35.97

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Solution

The fourth proportional to 52.99, 79.64 and 35.97 is: 54.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.99 : 79.64 = 35.97 : x
  2. Step 2: Convert to fraction form
    52.99/79.64 = 35.97/x
  3. Step 3: Cross multiply
    52.99x = 79.64 × 35.97
  4. Step 4: Simplify right side
    52.99x = 2,864.67
  5. Step 5: Solve for x
    x = 2,864.67/52.99
  6. Step 6: Final answer
    x = 54.06

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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.