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Finding the Fourth Proportional to 78.30, 117.33 and 70.14

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Solution

The fourth proportional to 78.30, 117.33 and 70.14 is: 105.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 117.33 = 70.14 : x
  2. Step 2: Convert to fraction form
    78.30/117.33 = 70.14/x
  3. Step 3: Cross multiply
    78.30x = 117.33 × 70.14
  4. Step 4: Simplify right side
    78.30x = 8,229.53
  5. Step 5: Solve for x
    x = 8,229.53/78.30
  6. Step 6: Final answer
    x = 105.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.