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Finding the Fourth Proportional to 58.68, 87.93 and 31.59

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Solution

The fourth proportional to 58.68, 87.93 and 31.59 is: 47.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.68 : 87.93 = 31.59 : x
  2. Step 2: Convert to fraction form
    58.68/87.93 = 31.59/x
  3. Step 3: Cross multiply
    58.68x = 87.93 × 31.59
  4. Step 4: Simplify right side
    58.68x = 2,777.71
  5. Step 5: Solve for x
    x = 2,777.71/58.68
  6. Step 6: Final answer
    x = 47.34

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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.