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Finding the Fourth Proportional to 44.14, 65.84 and 37.76

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Solution

The fourth proportional to 44.14, 65.84 and 37.76 is: 56.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.14 : 65.84 = 37.76 : x
  2. Step 2: Convert to fraction form
    44.14/65.84 = 37.76/x
  3. Step 3: Cross multiply
    44.14x = 65.84 × 37.76
  4. Step 4: Simplify right side
    44.14x = 2,486.12
  5. Step 5: Solve for x
    x = 2,486.12/44.14
  6. Step 6: Final answer
    x = 56.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.