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Finding the Fourth Proportional to 65.14, 89.71 and 56.97

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Solution

The fourth proportional to 65.14, 89.71 and 56.97 is: 78.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.14 : 89.71 = 56.97 : x
  2. Step 2: Convert to fraction form
    65.14/89.71 = 56.97/x
  3. Step 3: Cross multiply
    65.14x = 89.71 × 56.97
  4. Step 4: Simplify right side
    65.14x = 5,110.64
  5. Step 5: Solve for x
    x = 5,110.64/65.14
  6. Step 6: Final answer
    x = 78.46

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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.