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Finding the Fourth Proportional to 59.08, 88.44 and 32

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Solution

The fourth proportional to 59.08, 88.44 and 32 is: 47.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.08 : 88.44 = 32 : x
  2. Step 2: Convert to fraction form
    59.08/88.44 = 32/x
  3. Step 3: Cross multiply
    59.08x = 88.44 × 32
  4. Step 4: Simplify right side
    59.08x = 2,830.08
  5. Step 5: Solve for x
    x = 2,830.08/59.08
  6. Step 6: Final answer
    x = 47.90

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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.