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Finding the Fourth Proportional to 41.51, 57.59 and 40.16

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Solution

The fourth proportional to 41.51, 57.59 and 40.16 is: 55.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.51 : 57.59 = 40.16 : x
  2. Step 2: Convert to fraction form
    41.51/57.59 = 40.16/x
  3. Step 3: Cross multiply
    41.51x = 57.59 × 40.16
  4. Step 4: Simplify right side
    41.51x = 2,312.81
  5. Step 5: Solve for x
    x = 2,312.81/41.51
  6. Step 6: Final answer
    x = 55.72

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.