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Finding the Fourth Proportional to 145.88, 219.68 and 105.58

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Solution

The fourth proportional to 145.88, 219.68 and 105.58 is: 158.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.88 : 219.68 = 105.58 : x
  2. Step 2: Convert to fraction form
    145.88/219.68 = 105.58/x
  3. Step 3: Cross multiply
    145.88x = 219.68 × 105.58
  4. Step 4: Simplify right side
    145.88x = 23,193.81
  5. Step 5: Solve for x
    x = 23,193.81/145.88
  6. Step 6: Final answer
    x = 158.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.