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Finding the Fourth Proportional to 52.34, 77.92 and 51.72

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Solution

The fourth proportional to 52.34, 77.92 and 51.72 is: 77.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.34 : 77.92 = 51.72 : x
  2. Step 2: Convert to fraction form
    52.34/77.92 = 51.72/x
  3. Step 3: Cross multiply
    52.34x = 77.92 × 51.72
  4. Step 4: Simplify right side
    52.34x = 4,030.02
  5. Step 5: Solve for x
    x = 4,030.02/52.34
  6. Step 6: Final answer
    x = 77.00

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.