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Finding the Fourth Proportional to 55.94, 76.88 and 52.34

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Solution

The fourth proportional to 55.94, 76.88 and 52.34 is: 71.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.94 : 76.88 = 52.34 : x
  2. Step 2: Convert to fraction form
    55.94/76.88 = 52.34/x
  3. Step 3: Cross multiply
    55.94x = 76.88 × 52.34
  4. Step 4: Simplify right side
    55.94x = 4,023.90
  5. Step 5: Solve for x
    x = 4,023.90/55.94
  6. Step 6: Final answer
    x = 71.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.