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Finding the Fourth Proportional to 156.65, 216.05 and 107.42

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Solution

The fourth proportional to 156.65, 216.05 and 107.42 is: 148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.65 : 216.05 = 107.42 : x
  2. Step 2: Convert to fraction form
    156.65/216.05 = 107.42/x
  3. Step 3: Cross multiply
    156.65x = 216.05 × 107.42
  4. Step 4: Simplify right side
    156.65x = 23,206.47
  5. Step 5: Solve for x
    x = 23,206.47/156.65
  6. Step 6: Final answer
    x = 148.15

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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.