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Finding the Fourth Proportional to 102.59, 153.65 and 61.93

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Solution

The fourth proportional to 102.59, 153.65 and 61.93 is: 92.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.59 : 153.65 = 61.93 : x
  2. Step 2: Convert to fraction form
    102.59/153.65 = 61.93/x
  3. Step 3: Cross multiply
    102.59x = 153.65 × 61.93
  4. Step 4: Simplify right side
    102.59x = 9,515.54
  5. Step 5: Solve for x
    x = 9,515.54/102.59
  6. Step 6: Final answer
    x = 92.75

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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.