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Finding the Fourth Proportional to 53.00, 79.67 and 37.85

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Solution

The fourth proportional to 53.00, 79.67 and 37.85 is: 56.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.00 : 79.67 = 37.85 : x
  2. Step 2: Convert to fraction form
    53.00/79.67 = 37.85/x
  3. Step 3: Cross multiply
    53.00x = 79.67 × 37.85
  4. Step 4: Simplify right side
    53.00x = 3,015.21
  5. Step 5: Solve for x
    x = 3,015.21/53.00
  6. Step 6: Final answer
    x = 56.89

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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.