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Finding the Fourth Proportional to 99.38, 149.72 and 90.12

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Solution

The fourth proportional to 99.38, 149.72 and 90.12 is: 135.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.38 : 149.72 = 90.12 : x
  2. Step 2: Convert to fraction form
    99.38/149.72 = 90.12/x
  3. Step 3: Cross multiply
    99.38x = 149.72 × 90.12
  4. Step 4: Simplify right side
    99.38x = 13,492.32
  5. Step 5: Solve for x
    x = 13,492.32/99.38
  6. Step 6: Final answer
    x = 135.77

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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.