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Finding the Fourth Proportional to 42.94, 64.63 and 32.86

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Solution

The fourth proportional to 42.94, 64.63 and 32.86 is: 49.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.94 : 64.63 = 32.86 : x
  2. Step 2: Convert to fraction form
    42.94/64.63 = 32.86/x
  3. Step 3: Cross multiply
    42.94x = 64.63 × 32.86
  4. Step 4: Simplify right side
    42.94x = 2,123.74
  5. Step 5: Solve for x
    x = 2,123.74/42.94
  6. Step 6: Final answer
    x = 49.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.