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Finding the Fourth Proportional to 109.83, 152.32 and 100.72

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Solution

The fourth proportional to 109.83, 152.32 and 100.72 is: 139.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.83 : 152.32 = 100.72 : x
  2. Step 2: Convert to fraction form
    109.83/152.32 = 100.72/x
  3. Step 3: Cross multiply
    109.83x = 152.32 × 100.72
  4. Step 4: Simplify right side
    109.83x = 15,341.67
  5. Step 5: Solve for x
    x = 15,341.67/109.83
  6. Step 6: Final answer
    x = 139.69

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.