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Finding the Fourth Proportional to 53.65, 73.58 and 50.77

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Solution

The fourth proportional to 53.65, 73.58 and 50.77 is: 69.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.65 : 73.58 = 50.77 : x
  2. Step 2: Convert to fraction form
    53.65/73.58 = 50.77/x
  3. Step 3: Cross multiply
    53.65x = 73.58 × 50.77
  4. Step 4: Simplify right side
    53.65x = 3,735.66
  5. Step 5: Solve for x
    x = 3,735.66/53.65
  6. Step 6: Final answer
    x = 69.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.