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Finding the Fourth Proportional to 105.51, 145.28 and 89.94

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Solution

The fourth proportional to 105.51, 145.28 and 89.94 is: 123.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.51 : 145.28 = 89.94 : x
  2. Step 2: Convert to fraction form
    105.51/145.28 = 89.94/x
  3. Step 3: Cross multiply
    105.51x = 145.28 × 89.94
  4. Step 4: Simplify right side
    105.51x = 13,066.48
  5. Step 5: Solve for x
    x = 13,066.48/105.51
  6. Step 6: Final answer
    x = 123.84

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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.