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Finding the Fourth Proportional to 89.77, 134.66 and 32.02

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Solution

The fourth proportional to 89.77, 134.66 and 32.02 is: 48.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.77 : 134.66 = 32.02 : x
  2. Step 2: Convert to fraction form
    89.77/134.66 = 32.02/x
  3. Step 3: Cross multiply
    89.77x = 134.66 × 32.02
  4. Step 4: Simplify right side
    89.77x = 4,312.22
  5. Step 5: Solve for x
    x = 4,312.22/89.77
  6. Step 6: Final answer
    x = 48.04

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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.