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Finding the Fourth Proportional to 89.48, 133.93 and 78.59

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Solution

The fourth proportional to 89.48, 133.93 and 78.59 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.48 : 133.93 = 78.59 : x
  2. Step 2: Convert to fraction form
    89.48/133.93 = 78.59/x
  3. Step 3: Cross multiply
    89.48x = 133.93 × 78.59
  4. Step 4: Simplify right side
    89.48x = 10,525.39
  5. Step 5: Solve for x
    x = 10,525.39/89.48
  6. Step 6: Final answer
    x = 117.63

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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.