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Finding the Fourth Proportional to 35.82, 53.47 and 31.25

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Solution

The fourth proportional to 35.82, 53.47 and 31.25 is: 46.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.82 : 53.47 = 31.25 : x
  2. Step 2: Convert to fraction form
    35.82/53.47 = 31.25/x
  3. Step 3: Cross multiply
    35.82x = 53.47 × 31.25
  4. Step 4: Simplify right side
    35.82x = 1,670.94
  5. Step 5: Solve for x
    x = 1,670.94/35.82
  6. Step 6: Final answer
    x = 46.65

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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.