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Finding the Fourth Proportional to 82.96, 114.53 and 56.77

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Solution

The fourth proportional to 82.96, 114.53 and 56.77 is: 78.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.96 : 114.53 = 56.77 : x
  2. Step 2: Convert to fraction form
    82.96/114.53 = 56.77/x
  3. Step 3: Cross multiply
    82.96x = 114.53 × 56.77
  4. Step 4: Simplify right side
    82.96x = 6,501.01
  5. Step 5: Solve for x
    x = 6,501.01/82.96
  6. Step 6: Final answer
    x = 78.37

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Why These Related Problems?

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