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Finding the Fourth Proportional to 35.06, 52.34 and 31.02

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Solution

The fourth proportional to 35.06, 52.34 and 31.02 is: 46.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.06 : 52.34 = 31.02 : x
  2. Step 2: Convert to fraction form
    35.06/52.34 = 31.02/x
  3. Step 3: Cross multiply
    35.06x = 52.34 × 31.02
  4. Step 4: Simplify right side
    35.06x = 1,623.59
  5. Step 5: Solve for x
    x = 1,623.59/35.06
  6. Step 6: Final answer
    x = 46.31

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.