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Finding the Fourth Proportional to 105.57, 145.59 and 90.08

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Solution

The fourth proportional to 105.57, 145.59 and 90.08 is: 124.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.57 : 145.59 = 90.08 : x
  2. Step 2: Convert to fraction form
    105.57/145.59 = 90.08/x
  3. Step 3: Cross multiply
    105.57x = 145.59 × 90.08
  4. Step 4: Simplify right side
    105.57x = 13,114.02
  5. Step 5: Solve for x
    x = 13,114.02/105.57
  6. Step 6: Final answer
    x = 124.22

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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.