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Finding the Fourth Proportional to 53.94, 74.46 and 34.58

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Solution

The fourth proportional to 53.94, 74.46 and 34.58 is: 47.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.94 : 74.46 = 34.58 : x
  2. Step 2: Convert to fraction form
    53.94/74.46 = 34.58/x
  3. Step 3: Cross multiply
    53.94x = 74.46 × 34.58
  4. Step 4: Simplify right side
    53.94x = 2,574.83
  5. Step 5: Solve for x
    x = 2,574.83/53.94
  6. Step 6: Final answer
    x = 47.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.