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Finding the Fourth Proportional to 156.34, 215.68 and 101.07

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Solution

The fourth proportional to 156.34, 215.68 and 101.07 is: 139.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156.34 : 215.68 = 101.07 : x
  2. Step 2: Convert to fraction form
    156.34/215.68 = 101.07/x
  3. Step 3: Cross multiply
    156.34x = 215.68 × 101.07
  4. Step 4: Simplify right side
    156.34x = 21,798.78
  5. Step 5: Solve for x
    x = 21,798.78/156.34
  6. Step 6: Final answer
    x = 139.43

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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.