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Finding the Fourth Proportional to 102.90, 154.39 and 42.07

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Solution

The fourth proportional to 102.90, 154.39 and 42.07 is: 63.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.90 : 154.39 = 42.07 : x
  2. Step 2: Convert to fraction form
    102.90/154.39 = 42.07/x
  3. Step 3: Cross multiply
    102.90x = 154.39 × 42.07
  4. Step 4: Simplify right side
    102.90x = 6,495.19
  5. Step 5: Solve for x
    x = 6,495.19/102.90
  6. Step 6: Final answer
    x = 63.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.