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Finding the Fourth Proportional to 72.90, 110.16 and 70.20

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Solution

The fourth proportional to 72.90, 110.16 and 70.20 is: 106.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.90 : 110.16 = 70.20 : x
  2. Step 2: Convert to fraction form
    72.90/110.16 = 70.20/x
  3. Step 3: Cross multiply
    72.90x = 110.16 × 70.20
  4. Step 4: Simplify right side
    72.90x = 7,733.23
  5. Step 5: Solve for x
    x = 7,733.23/72.90
  6. Step 6: Final answer
    x = 106.08

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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.