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Finding the Fourth Proportional to 58.47, 87.75 and 31.41

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Solution

The fourth proportional to 58.47, 87.75 and 31.41 is: 47.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.47 : 87.75 = 31.41 : x
  2. Step 2: Convert to fraction form
    58.47/87.75 = 31.41/x
  3. Step 3: Cross multiply
    58.47x = 87.75 × 31.41
  4. Step 4: Simplify right side
    58.47x = 2,756.23
  5. Step 5: Solve for x
    x = 2,756.23/58.47
  6. Step 6: Final answer
    x = 47.14

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