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Finding the Fourth Proportional to 56.51, 77.94 and 52.14

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Solution

The fourth proportional to 56.51, 77.94 and 52.14 is: 71.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.51 : 77.94 = 52.14 : x
  2. Step 2: Convert to fraction form
    56.51/77.94 = 52.14/x
  3. Step 3: Cross multiply
    56.51x = 77.94 × 52.14
  4. Step 4: Simplify right side
    56.51x = 4,063.79
  5. Step 5: Solve for x
    x = 4,063.79/56.51
  6. Step 6: Final answer
    x = 71.92

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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.