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Finding the Fourth Proportional to 42.76, 64.16 and 37.68

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Solution

The fourth proportional to 42.76, 64.16 and 37.68 is: 56.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.76 : 64.16 = 37.68 : x
  2. Step 2: Convert to fraction form
    42.76/64.16 = 37.68/x
  3. Step 3: Cross multiply
    42.76x = 64.16 × 37.68
  4. Step 4: Simplify right side
    42.76x = 2,417.55
  5. Step 5: Solve for x
    x = 2,417.55/42.76
  6. Step 6: Final answer
    x = 56.54

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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.