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Finding the Fourth Proportional to 56.88, 85.74 and 56.43

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Solution

The fourth proportional to 56.88, 85.74 and 56.43 is: 85.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.88 : 85.74 = 56.43 : x
  2. Step 2: Convert to fraction form
    56.88/85.74 = 56.43/x
  3. Step 3: Cross multiply
    56.88x = 85.74 × 56.43
  4. Step 4: Simplify right side
    56.88x = 4,838.31
  5. Step 5: Solve for x
    x = 4,838.31/56.88
  6. Step 6: Final answer
    x = 85.06

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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.