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Finding the Fourth Proportional to 59.51, 89.24 and 45.95

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Solution

The fourth proportional to 59.51, 89.24 and 45.95 is: 68.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.51 : 89.24 = 45.95 : x
  2. Step 2: Convert to fraction form
    59.51/89.24 = 45.95/x
  3. Step 3: Cross multiply
    59.51x = 89.24 × 45.95
  4. Step 4: Simplify right side
    59.51x = 4,100.40
  5. Step 5: Solve for x
    x = 4,100.40/59.51
  6. Step 6: Final answer
    x = 68.90

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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.