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Finding the Fourth Proportional to 90.12, 135.72 and 70.08

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Solution

The fourth proportional to 90.12, 135.72 and 70.08 is: 105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.12 : 135.72 = 70.08 : x
  2. Step 2: Convert to fraction form
    90.12/135.72 = 70.08/x
  3. Step 3: Cross multiply
    90.12x = 135.72 × 70.08
  4. Step 4: Simplify right side
    90.12x = 9,511.26
  5. Step 5: Solve for x
    x = 9,511.26/90.12
  6. Step 6: Final answer
    x = 105.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.