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Finding the Fourth Proportional to 35.04, 48.38 and 22.77

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Solution

The fourth proportional to 35.04, 48.38 and 22.77 is: 31.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.04 : 48.38 = 22.77 : x
  2. Step 2: Convert to fraction form
    35.04/48.38 = 22.77/x
  3. Step 3: Cross multiply
    35.04x = 48.38 × 22.77
  4. Step 4: Simplify right side
    35.04x = 1,101.50
  5. Step 5: Solve for x
    x = 1,101.50/35.04
  6. Step 6: Final answer
    x = 31.44

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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.