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Finding the Fourth Proportional to 44.29, 66.37 and 37.60

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Solution

The fourth proportional to 44.29, 66.37 and 37.60 is: 56.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.29 : 66.37 = 37.60 : x
  2. Step 2: Convert to fraction form
    44.29/66.37 = 37.60/x
  3. Step 3: Cross multiply
    44.29x = 66.37 × 37.60
  4. Step 4: Simplify right side
    44.29x = 2,495.51
  5. Step 5: Solve for x
    x = 2,495.51/44.29
  6. Step 6: Final answer
    x = 56.34

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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.