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Finding the Fourth Proportional to 64.80, 97.02 and 48.46

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Solution

The fourth proportional to 64.80, 97.02 and 48.46 is: 72.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.80 : 97.02 = 48.46 : x
  2. Step 2: Convert to fraction form
    64.80/97.02 = 48.46/x
  3. Step 3: Cross multiply
    64.80x = 97.02 × 48.46
  4. Step 4: Simplify right side
    64.80x = 4,701.59
  5. Step 5: Solve for x
    x = 4,701.59/64.80
  6. Step 6: Final answer
    x = 72.56

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