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Finding the Fourth Proportional to 105.21, 145.35 and 89.83

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Solution

The fourth proportional to 105.21, 145.35 and 89.83 is: 124.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.21 : 145.35 = 89.83 : x
  2. Step 2: Convert to fraction form
    105.21/145.35 = 89.83/x
  3. Step 3: Cross multiply
    105.21x = 145.35 × 89.83
  4. Step 4: Simplify right side
    105.21x = 13,056.79
  5. Step 5: Solve for x
    x = 13,056.79/105.21
  6. Step 6: Final answer
    x = 124.10

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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.