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Finding the Fourth Proportional to 35.71, 53.52 and 25

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Solution

The fourth proportional to 35.71, 53.52 and 25 is: 37.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    35.71 : 53.52 = 25 : x
  2. Step 2: Convert to fraction form
    35.71/53.52 = 25/x
  3. Step 3: Cross multiply
    35.71x = 53.52 × 25
  4. Step 4: Simplify right side
    35.71x = 1,338
  5. Step 5: Solve for x
    x = 1,338/35.71
  6. Step 6: Final answer
    x = 37.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.