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Finding the Fourth Proportional to 89.36, 134.28 and 53.32

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Solution

The fourth proportional to 89.36, 134.28 and 53.32 is: 80.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.36 : 134.28 = 53.32 : x
  2. Step 2: Convert to fraction form
    89.36/134.28 = 53.32/x
  3. Step 3: Cross multiply
    89.36x = 134.28 × 53.32
  4. Step 4: Simplify right side
    89.36x = 7,159.81
  5. Step 5: Solve for x
    x = 7,159.81/89.36
  6. Step 6: Final answer
    x = 80.12

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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.