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Finding the Fourth Proportional to 89.95, 134.86 and 32.16

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Solution

The fourth proportional to 89.95, 134.86 and 32.16 is: 48.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.95 : 134.86 = 32.16 : x
  2. Step 2: Convert to fraction form
    89.95/134.86 = 32.16/x
  3. Step 3: Cross multiply
    89.95x = 134.86 × 32.16
  4. Step 4: Simplify right side
    89.95x = 4,337.10
  5. Step 5: Solve for x
    x = 4,337.10/89.95
  6. Step 6: Final answer
    x = 48.22

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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.