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Finding the Fourth Proportional to 153.64, 211.86 and 101.80

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Solution

The fourth proportional to 153.64, 211.86 and 101.80 is: 140.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.64 : 211.86 = 101.80 : x
  2. Step 2: Convert to fraction form
    153.64/211.86 = 101.80/x
  3. Step 3: Cross multiply
    153.64x = 211.86 × 101.80
  4. Step 4: Simplify right side
    153.64x = 21,567.35
  5. Step 5: Solve for x
    x = 21,567.35/153.64
  6. Step 6: Final answer
    x = 140.38

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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.