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Finding the Fourth Proportional to 100.96, 152.32 and 95.90

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Solution

The fourth proportional to 100.96, 152.32 and 95.90 is: 144.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.96 : 152.32 = 95.90 : x
  2. Step 2: Convert to fraction form
    100.96/152.32 = 95.90/x
  3. Step 3: Cross multiply
    100.96x = 152.32 × 95.90
  4. Step 4: Simplify right side
    100.96x = 14,607.11
  5. Step 5: Solve for x
    x = 14,607.11/100.96
  6. Step 6: Final answer
    x = 144.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.