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Finding the Fourth Proportional to 66.21, 91.37 and 37.10

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Solution

The fourth proportional to 66.21, 91.37 and 37.10 is: 51.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.21 : 91.37 = 37.10 : x
  2. Step 2: Convert to fraction form
    66.21/91.37 = 37.10/x
  3. Step 3: Cross multiply
    66.21x = 91.37 × 37.10
  4. Step 4: Simplify right side
    66.21x = 3,390.08
  5. Step 5: Solve for x
    x = 3,390.08/66.21
  6. Step 6: Final answer
    x = 51.20

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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.