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Finding the Fourth Proportional to 52.34, 78.07 and 51.86

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Solution

The fourth proportional to 52.34, 78.07 and 51.86 is: 77.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.34 : 78.07 = 51.86 : x
  2. Step 2: Convert to fraction form
    52.34/78.07 = 51.86/x
  3. Step 3: Cross multiply
    52.34x = 78.07 × 51.86
  4. Step 4: Simplify right side
    52.34x = 4,048.71
  5. Step 5: Solve for x
    x = 4,048.71/52.34
  6. Step 6: Final answer
    x = 77.35

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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.