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Finding the Fourth Proportional to 64.80, 97.22 and 30.53

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Solution

The fourth proportional to 64.80, 97.22 and 30.53 is: 45.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.80 : 97.22 = 30.53 : x
  2. Step 2: Convert to fraction form
    64.80/97.22 = 30.53/x
  3. Step 3: Cross multiply
    64.80x = 97.22 × 30.53
  4. Step 4: Simplify right side
    64.80x = 2,968.45
  5. Step 5: Solve for x
    x = 2,968.45/64.80
  6. Step 6: Final answer
    x = 45.81

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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.