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Finding the Fourth Proportional to 102.69, 141.93 and 90.95

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Solution

The fourth proportional to 102.69, 141.93 and 90.95 is: 125.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 141.93 = 90.95 : x
  2. Step 2: Convert to fraction form
    102.69/141.93 = 90.95/x
  3. Step 3: Cross multiply
    102.69x = 141.93 × 90.95
  4. Step 4: Simplify right side
    102.69x = 12,907.82
  5. Step 5: Solve for x
    x = 12,907.82/102.69
  6. Step 6: Final answer
    x = 125.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.