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Finding the Fourth Proportional to 105.48, 145.62 and 89.28

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Solution

The fourth proportional to 105.48, 145.62 and 89.28 is: 123.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.48 : 145.62 = 89.28 : x
  2. Step 2: Convert to fraction form
    105.48/145.62 = 89.28/x
  3. Step 3: Cross multiply
    105.48x = 145.62 × 89.28
  4. Step 4: Simplify right side
    105.48x = 13,000.95
  5. Step 5: Solve for x
    x = 13,000.95/105.48
  6. Step 6: Final answer
    x = 123.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.