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Finding the Fourth Proportional to 35.61, 49.14 and 19.23

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Solution

The fourth proportional to 35.61, 49.14 and 19.23 is: 26.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.61 : 49.14 = 19.23 : x
  2. Step 2: Convert to fraction form
    35.61/49.14 = 19.23/x
  3. Step 3: Cross multiply
    35.61x = 49.14 × 19.23
  4. Step 4: Simplify right side
    35.61x = 945.10
  5. Step 5: Solve for x
    x = 945.10/35.61
  6. Step 6: Final answer
    x = 26.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.