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Finding the Fourth Proportional to 65.21, 89.78 and 57.03

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Solution

The fourth proportional to 65.21, 89.78 and 57.03 is: 78.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.21 : 89.78 = 57.03 : x
  2. Step 2: Convert to fraction form
    65.21/89.78 = 57.03/x
  3. Step 3: Cross multiply
    65.21x = 89.78 × 57.03
  4. Step 4: Simplify right side
    65.21x = 5,120.30
  5. Step 5: Solve for x
    x = 5,120.30/65.21
  6. Step 6: Final answer
    x = 78.52

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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.