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Finding the Fourth Proportional to 100.47, 137.71 and 99.10

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Solution

The fourth proportional to 100.47, 137.71 and 99.10 is: 135.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.47 : 137.71 = 99.10 : x
  2. Step 2: Convert to fraction form
    100.47/137.71 = 99.10/x
  3. Step 3: Cross multiply
    100.47x = 137.71 × 99.10
  4. Step 4: Simplify right side
    100.47x = 13,647.11
  5. Step 5: Solve for x
    x = 13,647.11/100.47
  6. Step 6: Final answer
    x = 135.84

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.