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Finding the Fourth Proportional to 65.39, 89.60 and 65.28

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Solution

The fourth proportional to 65.39, 89.60 and 65.28 is: 89.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.39 : 89.60 = 65.28 : x
  2. Step 2: Convert to fraction form
    65.39/89.60 = 65.28/x
  3. Step 3: Cross multiply
    65.39x = 89.60 × 65.28
  4. Step 4: Simplify right side
    65.39x = 5,849.10
  5. Step 5: Solve for x
    x = 5,849.10/65.39
  6. Step 6: Final answer
    x = 89.46

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Why These Related Problems?

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