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Finding the Fourth Proportional to 78.16, 117.29 and 30.06

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Solution

The fourth proportional to 78.16, 117.29 and 30.06 is: 45.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.16 : 117.29 = 30.06 : x
  2. Step 2: Convert to fraction form
    78.16/117.29 = 30.06/x
  3. Step 3: Cross multiply
    78.16x = 117.29 × 30.06
  4. Step 4: Simplify right side
    78.16x = 3,525.74
  5. Step 5: Solve for x
    x = 3,525.74/78.16
  6. Step 6: Final answer
    x = 45.11

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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.