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Finding the Fourth Proportional to 56.10, 83.64 and 52.86

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Solution

The fourth proportional to 56.10, 83.64 and 52.86 is: 78.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.10 : 83.64 = 52.86 : x
  2. Step 2: Convert to fraction form
    56.10/83.64 = 52.86/x
  3. Step 3: Cross multiply
    56.10x = 83.64 × 52.86
  4. Step 4: Simplify right side
    56.10x = 4,421.21
  5. Step 5: Solve for x
    x = 4,421.21/56.10
  6. Step 6: Final answer
    x = 78.81

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Why These Related Problems?

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