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Finding the Fourth Proportional to 35.57, 53.12 and 31.02

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Solution

The fourth proportional to 35.57, 53.12 and 31.02 is: 46.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.57 : 53.12 = 31.02 : x
  2. Step 2: Convert to fraction form
    35.57/53.12 = 31.02/x
  3. Step 3: Cross multiply
    35.57x = 53.12 × 31.02
  4. Step 4: Simplify right side
    35.57x = 1,647.66
  5. Step 5: Solve for x
    x = 1,647.66/35.57
  6. Step 6: Final answer
    x = 46.32

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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.