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Finding the Fourth Proportional to 57.51, 78.45 and 56.82

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Solution

The fourth proportional to 57.51, 78.45 and 56.82 is: 77.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.51 : 78.45 = 56.82 : x
  2. Step 2: Convert to fraction form
    57.51/78.45 = 56.82/x
  3. Step 3: Cross multiply
    57.51x = 78.45 × 56.82
  4. Step 4: Simplify right side
    57.51x = 4,457.53
  5. Step 5: Solve for x
    x = 4,457.53/57.51
  6. Step 6: Final answer
    x = 77.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.