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Finding the Fourth Proportional to 59.14, 88.69 and 32.07

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Solution

The fourth proportional to 59.14, 88.69 and 32.07 is: 48.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.14 : 88.69 = 32.07 : x
  2. Step 2: Convert to fraction form
    59.14/88.69 = 32.07/x
  3. Step 3: Cross multiply
    59.14x = 88.69 × 32.07
  4. Step 4: Simplify right side
    59.14x = 2,844.29
  5. Step 5: Solve for x
    x = 2,844.29/59.14
  6. Step 6: Final answer
    x = 48.09

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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.