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Finding the Fourth Proportional to 65.30, 97.54 and 51.74

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Solution

The fourth proportional to 65.30, 97.54 and 51.74 is: 77.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.30 : 97.54 = 51.74 : x
  2. Step 2: Convert to fraction form
    65.30/97.54 = 51.74/x
  3. Step 3: Cross multiply
    65.30x = 97.54 × 51.74
  4. Step 4: Simplify right side
    65.30x = 5,046.23
  5. Step 5: Solve for x
    x = 5,046.23/65.30
  6. Step 6: Final answer
    x = 77.28

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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.