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Finding the Fourth Proportional to 89.94, 134.91 and 32.16

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Solution

The fourth proportional to 89.94, 134.91 and 32.16 is: 48.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.94 : 134.91 = 32.16 : x
  2. Step 2: Convert to fraction form
    89.94/134.91 = 32.16/x
  3. Step 3: Cross multiply
    89.94x = 134.91 × 32.16
  4. Step 4: Simplify right side
    89.94x = 4,338.71
  5. Step 5: Solve for x
    x = 4,338.71/89.94
  6. Step 6: Final answer
    x = 48.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.