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Finding the Fourth Proportional to 35.02, 48.34 and 27.24

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Solution

The fourth proportional to 35.02, 48.34 and 27.24 is: 37.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.02 : 48.34 = 27.24 : x
  2. Step 2: Convert to fraction form
    35.02/48.34 = 27.24/x
  3. Step 3: Cross multiply
    35.02x = 48.34 × 27.24
  4. Step 4: Simplify right side
    35.02x = 1,316.83
  5. Step 5: Solve for x
    x = 1,316.83/35.02
  6. Step 6: Final answer
    x = 37.60

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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.