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Finding the Fourth Proportional to 25.89, 35.47 and 25.65

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Solution

The fourth proportional to 25.89, 35.47 and 25.65 is: 35.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.89 : 35.47 = 25.65 : x
  2. Step 2: Convert to fraction form
    25.89/35.47 = 25.65/x
  3. Step 3: Cross multiply
    25.89x = 35.47 × 25.65
  4. Step 4: Simplify right side
    25.89x = 909.81
  5. Step 5: Solve for x
    x = 909.81/25.89
  6. Step 6: Final answer
    x = 35.14

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.