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Finding the Fourth Proportional to 59.10, 88.63 and 23.02

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Solution

The fourth proportional to 59.10, 88.63 and 23.02 is: 34.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.10 : 88.63 = 23.02 : x
  2. Step 2: Convert to fraction form
    59.10/88.63 = 23.02/x
  3. Step 3: Cross multiply
    59.10x = 88.63 × 23.02
  4. Step 4: Simplify right side
    59.10x = 2,039.98
  5. Step 5: Solve for x
    x = 2,039.98/59.10
  6. Step 6: Final answer
    x = 34.52

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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.