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Finding the Fourth Proportional to 89.04, 133.62 and 45.72

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Solution

The fourth proportional to 89.04, 133.62 and 45.72 is: 68.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.04 : 133.62 = 45.72 : x
  2. Step 2: Convert to fraction form
    89.04/133.62 = 45.72/x
  3. Step 3: Cross multiply
    89.04x = 133.62 × 45.72
  4. Step 4: Simplify right side
    89.04x = 6,109.11
  5. Step 5: Solve for x
    x = 6,109.11/89.04
  6. Step 6: Final answer
    x = 68.61

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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.