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Finding the Fourth Proportional to 105.98, 145.48 and 100.58

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Solution

The fourth proportional to 105.98, 145.48 and 100.58 is: 138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.98 : 145.48 = 100.58 : x
  2. Step 2: Convert to fraction form
    105.98/145.48 = 100.58/x
  3. Step 3: Cross multiply
    105.98x = 145.48 × 100.58
  4. Step 4: Simplify right side
    105.98x = 14,632.38
  5. Step 5: Solve for x
    x = 14,632.38/105.98
  6. Step 6: Final answer
    x = 138.07

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.