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Finding the Fourth Proportional to 58.21, 87.14 and 52.03

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Solution

The fourth proportional to 58.21, 87.14 and 52.03 is: 77.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.21 : 87.14 = 52.03 : x
  2. Step 2: Convert to fraction form
    58.21/87.14 = 52.03/x
  3. Step 3: Cross multiply
    58.21x = 87.14 × 52.03
  4. Step 4: Simplify right side
    58.21x = 4,534.13
  5. Step 5: Solve for x
    x = 4,534.13/58.21
  6. Step 6: Final answer
    x = 77.90

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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.