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Finding the Fourth Proportional to 59.64, 89.78 and 53.26

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Solution

The fourth proportional to 59.64, 89.78 and 53.26 is: 80.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.64 : 89.78 = 53.26 : x
  2. Step 2: Convert to fraction form
    59.64/89.78 = 53.26/x
  3. Step 3: Cross multiply
    59.64x = 89.78 × 53.26
  4. Step 4: Simplify right side
    59.64x = 4,781.19
  5. Step 5: Solve for x
    x = 4,781.19/59.64
  6. Step 6: Final answer
    x = 80.17

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.