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Finding the Fourth Proportional to 74.52, 102.81 and 64.80

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Solution

The fourth proportional to 74.52, 102.81 and 64.80 is: 89.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.52 : 102.81 = 64.80 : x
  2. Step 2: Convert to fraction form
    74.52/102.81 = 64.80/x
  3. Step 3: Cross multiply
    74.52x = 102.81 × 64.80
  4. Step 4: Simplify right side
    74.52x = 6,662.09
  5. Step 5: Solve for x
    x = 6,662.09/74.52
  6. Step 6: Final answer
    x = 89.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.