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Finding the Fourth Proportional to 65.16, 97.74 and 19.53

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Solution

The fourth proportional to 65.16, 97.74 and 19.53 is: 29.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.16 : 97.74 = 19.53 : x
  2. Step 2: Convert to fraction form
    65.16/97.74 = 19.53/x
  3. Step 3: Cross multiply
    65.16x = 97.74 × 19.53
  4. Step 4: Simplify right side
    65.16x = 1,908.86
  5. Step 5: Solve for x
    x = 1,908.86/65.16
  6. Step 6: Final answer
    x = 29.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.