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Finding the Fourth Proportional to 59.42, 89.68 and 59.42

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Solution

The fourth proportional to 59.42, 89.68 and 59.42 is: 89.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.42 : 89.68 = 59.42 : x
  2. Step 2: Convert to fraction form
    59.42/89.68 = 59.42/x
  3. Step 3: Cross multiply
    59.42x = 89.68 × 59.42
  4. Step 4: Simplify right side
    59.42x = 5,328.79
  5. Step 5: Solve for x
    x = 5,328.79/59.42
  6. Step 6: Final answer
    x = 89.68

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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.