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Finding the Fourth Proportional to 35.78, 49.38 and 21.03

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Solution

The fourth proportional to 35.78, 49.38 and 21.03 is: 29.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.78 : 49.38 = 21.03 : x
  2. Step 2: Convert to fraction form
    35.78/49.38 = 21.03/x
  3. Step 3: Cross multiply
    35.78x = 49.38 × 21.03
  4. Step 4: Simplify right side
    35.78x = 1,038.40
  5. Step 5: Solve for x
    x = 1,038.40/35.78
  6. Step 6: Final answer
    x = 29.02

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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.