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Finding the Fourth Proportional to 58.05, 86.88 and 52.58

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Solution

The fourth proportional to 58.05, 86.88 and 52.58 is: 78.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.05 : 86.88 = 52.58 : x
  2. Step 2: Convert to fraction form
    58.05/86.88 = 52.58/x
  3. Step 3: Cross multiply
    58.05x = 86.88 × 52.58
  4. Step 4: Simplify right side
    58.05x = 4,567.72
  5. Step 5: Solve for x
    x = 4,567.72/58.05
  6. Step 6: Final answer
    x = 78.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.