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Finding the Fourth Proportional to 102.90, 154.44 and 95.70

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Solution

The fourth proportional to 102.90, 154.44 and 95.70 is: 143.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.90 : 154.44 = 95.70 : x
  2. Step 2: Convert to fraction form
    102.90/154.44 = 95.70/x
  3. Step 3: Cross multiply
    102.90x = 154.44 × 95.70
  4. Step 4: Simplify right side
    102.90x = 14,779.91
  5. Step 5: Solve for x
    x = 14,779.91/102.90
  6. Step 6: Final answer
    x = 143.63

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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.