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Finding the Fourth Proportional to 58.82, 81 and 51.53

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Solution

The fourth proportional to 58.82, 81 and 51.53 is: 70.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.82 : 81 = 51.53 : x
  2. Step 2: Convert to fraction form
    58.82/81 = 51.53/x
  3. Step 3: Cross multiply
    58.82x = 81 × 51.53
  4. Step 4: Simplify right side
    58.82x = 4,173.53
  5. Step 5: Solve for x
    x = 4,173.53/58.82
  6. Step 6: Final answer
    x = 70.96

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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.