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Finding the Fourth Proportional to 35.88, 49.23 and 34.08

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Solution

The fourth proportional to 35.88, 49.23 and 34.08 is: 46.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.88 : 49.23 = 34.08 : x
  2. Step 2: Convert to fraction form
    35.88/49.23 = 34.08/x
  3. Step 3: Cross multiply
    35.88x = 49.23 × 34.08
  4. Step 4: Simplify right side
    35.88x = 1,677.76
  5. Step 5: Solve for x
    x = 1,677.76/35.88
  6. Step 6: Final answer
    x = 46.76

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.