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Finding the Fourth Proportional to 58.77, 88.12 and 20.23

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Solution

The fourth proportional to 58.77, 88.12 and 20.23 is: 30.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.77 : 88.12 = 20.23 : x
  2. Step 2: Convert to fraction form
    58.77/88.12 = 20.23/x
  3. Step 3: Cross multiply
    58.77x = 88.12 × 20.23
  4. Step 4: Simplify right side
    58.77x = 1,782.68
  5. Step 5: Solve for x
    x = 1,782.68/58.77
  6. Step 6: Final answer
    x = 30.34

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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.