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Finding the Fourth Proportional to 89.61, 134.34 and 37.53

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Solution

The fourth proportional to 89.61, 134.34 and 37.53 is: 56.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.61 : 134.34 = 37.53 : x
  2. Step 2: Convert to fraction form
    89.61/134.34 = 37.53/x
  3. Step 3: Cross multiply
    89.61x = 134.34 × 37.53
  4. Step 4: Simplify right side
    89.61x = 5,041.78
  5. Step 5: Solve for x
    x = 5,041.78/89.61
  6. Step 6: Final answer
    x = 56.26

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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.