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Finding the Fourth Proportional to 99.66, 135.68 and 99.35

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Solution

The fourth proportional to 99.66, 135.68 and 99.35 is: 135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.66 : 135.68 = 99.35 : x
  2. Step 2: Convert to fraction form
    99.66/135.68 = 99.35/x
  3. Step 3: Cross multiply
    99.66x = 135.68 × 99.35
  4. Step 4: Simplify right side
    99.66x = 13,479.81
  5. Step 5: Solve for x
    x = 13,479.81/99.66
  6. Step 6: Final answer
    x = 135.26

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.