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Finding the Fourth Proportional to 103.55, 142.55 and 89.69

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Solution

The fourth proportional to 103.55, 142.55 and 89.69 is: 123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.55 : 142.55 = 89.69 : x
  2. Step 2: Convert to fraction form
    103.55/142.55 = 89.69/x
  3. Step 3: Cross multiply
    103.55x = 142.55 × 89.69
  4. Step 4: Simplify right side
    103.55x = 12,784.82
  5. Step 5: Solve for x
    x = 12,784.82/103.55
  6. Step 6: Final answer
    x = 123.47

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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.