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Finding the Fourth Proportional to 59.17, 88.76 and 15.84

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Solution

The fourth proportional to 59.17, 88.76 and 15.84 is: 23.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.17 : 88.76 = 15.84 : x
  2. Step 2: Convert to fraction form
    59.17/88.76 = 15.84/x
  3. Step 3: Cross multiply
    59.17x = 88.76 × 15.84
  4. Step 4: Simplify right side
    59.17x = 1,405.96
  5. Step 5: Solve for x
    x = 1,405.96/59.17
  6. Step 6: Final answer
    x = 23.76

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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.