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Finding the Fourth Proportional to 89.70, 134.46 and 46.35

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Solution

The fourth proportional to 89.70, 134.46 and 46.35 is: 69.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89.70 : 134.46 = 46.35 : x
  2. Step 2: Convert to fraction form
    89.70/134.46 = 46.35/x
  3. Step 3: Cross multiply
    89.70x = 134.46 × 46.35
  4. Step 4: Simplify right side
    89.70x = 6,232.22
  5. Step 5: Solve for x
    x = 6,232.22/89.70
  6. Step 6: Final answer
    x = 69.48

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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.