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Finding the Fourth Proportional to 58.90, 88.34 and 36.22

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Solution

The fourth proportional to 58.90, 88.34 and 36.22 is: 54.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.90 : 88.34 = 36.22 : x
  2. Step 2: Convert to fraction form
    58.90/88.34 = 36.22/x
  3. Step 3: Cross multiply
    58.90x = 88.34 × 36.22
  4. Step 4: Simplify right side
    58.90x = 3,199.67
  5. Step 5: Solve for x
    x = 3,199.67/58.90
  6. Step 6: Final answer
    x = 54.32

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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.