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Finding the Fourth Proportional to 102.38, 153.61 and 59.63

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Solution

The fourth proportional to 102.38, 153.61 and 59.63 is: 89.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.38 : 153.61 = 59.63 : x
  2. Step 2: Convert to fraction form
    102.38/153.61 = 59.63/x
  3. Step 3: Cross multiply
    102.38x = 153.61 × 59.63
  4. Step 4: Simplify right side
    102.38x = 9,158.85
  5. Step 5: Solve for x
    x = 9,158.85/102.38
  6. Step 6: Final answer
    x = 89.46

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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.