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Finding the Fourth Proportional to 92.86, 128.14 and 56.02

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Solution

The fourth proportional to 92.86, 128.14 and 56.02 is: 77.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.86 : 128.14 = 56.02 : x
  2. Step 2: Convert to fraction form
    92.86/128.14 = 56.02/x
  3. Step 3: Cross multiply
    92.86x = 128.14 × 56.02
  4. Step 4: Simplify right side
    92.86x = 7,178.50
  5. Step 5: Solve for x
    x = 7,178.50/92.86
  6. Step 6: Final answer
    x = 77.31

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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.