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Finding the Fourth Proportional to 58.14, 86.76 and 51.98

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Solution

The fourth proportional to 58.14, 86.76 and 51.98 is: 77.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.14 : 86.76 = 51.98 : x
  2. Step 2: Convert to fraction form
    58.14/86.76 = 51.98/x
  3. Step 3: Cross multiply
    58.14x = 86.76 × 51.98
  4. Step 4: Simplify right side
    58.14x = 4,509.78
  5. Step 5: Solve for x
    x = 4,509.78/58.14
  6. Step 6: Final answer
    x = 77.57

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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.