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Finding the Fourth Proportional to 56.52, 85.07 and 50.93

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Solution

The fourth proportional to 56.52, 85.07 and 50.93 is: 76.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.52 : 85.07 = 50.93 : x
  2. Step 2: Convert to fraction form
    56.52/85.07 = 50.93/x
  3. Step 3: Cross multiply
    56.52x = 85.07 × 50.93
  4. Step 4: Simplify right side
    56.52x = 4,332.76
  5. Step 5: Solve for x
    x = 4,332.76/56.52
  6. Step 6: Final answer
    x = 76.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.