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Finding the Fourth Proportional to 19.94, 29.77 and 17.53

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Solution

The fourth proportional to 19.94, 29.77 and 17.53 is: 26.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.94 : 29.77 = 17.53 : x
  2. Step 2: Convert to fraction form
    19.94/29.77 = 17.53/x
  3. Step 3: Cross multiply
    19.94x = 29.77 × 17.53
  4. Step 4: Simplify right side
    19.94x = 521.87
  5. Step 5: Solve for x
    x = 521.87/19.94
  6. Step 6: Final answer
    x = 26.17

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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.