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Finding the Fourth Proportional to 52.97, 78.77 and 49.09

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Solution

The fourth proportional to 52.97, 78.77 and 49.09 is: 73.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.97 : 78.77 = 49.09 : x
  2. Step 2: Convert to fraction form
    52.97/78.77 = 49.09/x
  3. Step 3: Cross multiply
    52.97x = 78.77 × 49.09
  4. Step 4: Simplify right side
    52.97x = 3,866.82
  5. Step 5: Solve for x
    x = 3,866.82/52.97
  6. Step 6: Final answer
    x = 73.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.