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Finding the Fourth Proportional to 153.51, 211.41 and 109.77

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Solution

The fourth proportional to 153.51, 211.41 and 109.77 is: 151.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.51 : 211.41 = 109.77 : x
  2. Step 2: Convert to fraction form
    153.51/211.41 = 109.77/x
  3. Step 3: Cross multiply
    153.51x = 211.41 × 109.77
  4. Step 4: Simplify right side
    153.51x = 23,206.48
  5. Step 5: Solve for x
    x = 23,206.48/153.51
  6. Step 6: Final answer
    x = 151.17

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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.