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Finding the Fourth Proportional to 25.71, 35.46 and 16

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Solution

The fourth proportional to 25.71, 35.46 and 16 is: 22.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.71 : 35.46 = 16 : x
  2. Step 2: Convert to fraction form
    25.71/35.46 = 16/x
  3. Step 3: Cross multiply
    25.71x = 35.46 × 16
  4. Step 4: Simplify right side
    25.71x = 567.36
  5. Step 5: Solve for x
    x = 567.36/25.71
  6. Step 6: Final answer
    x = 22.07

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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.