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Finding the Fourth Proportional to 55.76, 77.08 and 51.52

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Solution

The fourth proportional to 55.76, 77.08 and 51.52 is: 71.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.76 : 77.08 = 51.52 : x
  2. Step 2: Convert to fraction form
    55.76/77.08 = 51.52/x
  3. Step 3: Cross multiply
    55.76x = 77.08 × 51.52
  4. Step 4: Simplify right side
    55.76x = 3,971.16
  5. Step 5: Solve for x
    x = 3,971.16/55.76
  6. Step 6: Final answer
    x = 71.22

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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.