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Finding the Fourth Proportional to 65.14, 97.36 and 51.63

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Solution

The fourth proportional to 65.14, 97.36 and 51.63 is: 77.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.14 : 97.36 = 51.63 : x
  2. Step 2: Convert to fraction form
    65.14/97.36 = 51.63/x
  3. Step 3: Cross multiply
    65.14x = 97.36 × 51.63
  4. Step 4: Simplify right side
    65.14x = 5,026.70
  5. Step 5: Solve for x
    x = 5,026.70/65.14
  6. Step 6: Final answer
    x = 77.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.