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Finding the Fourth Proportional to 66.14, 91.26 and 46.70

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Solution

The fourth proportional to 66.14, 91.26 and 46.70 is: 64.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.14 : 91.26 = 46.70 : x
  2. Step 2: Convert to fraction form
    66.14/91.26 = 46.70/x
  3. Step 3: Cross multiply
    66.14x = 91.26 × 46.70
  4. Step 4: Simplify right side
    66.14x = 4,261.84
  5. Step 5: Solve for x
    x = 4,261.84/66.14
  6. Step 6: Final answer
    x = 64.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.