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Finding the Fourth Proportional to 57.16, 85.37 and 48.88

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Solution

The fourth proportional to 57.16, 85.37 and 48.88 is: 73.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.16 : 85.37 = 48.88 : x
  2. Step 2: Convert to fraction form
    57.16/85.37 = 48.88/x
  3. Step 3: Cross multiply
    57.16x = 85.37 × 48.88
  4. Step 4: Simplify right side
    57.16x = 4,172.89
  5. Step 5: Solve for x
    x = 4,172.89/57.16
  6. Step 6: Final answer
    x = 73.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.