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Finding the Fourth Proportional to 19.53, 29.16 and 17.64

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Solution

The fourth proportional to 19.53, 29.16 and 17.64 is: 26.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.53 : 29.16 = 17.64 : x
  2. Step 2: Convert to fraction form
    19.53/29.16 = 17.64/x
  3. Step 3: Cross multiply
    19.53x = 29.16 × 17.64
  4. Step 4: Simplify right side
    19.53x = 514.38
  5. Step 5: Solve for x
    x = 514.38/19.53
  6. Step 6: Final answer
    x = 26.34

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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.