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Finding the Fourth Proportional to 78.15, 118.05 and 78.15

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Solution

The fourth proportional to 78.15, 118.05 and 78.15 is: 118.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.15 : 118.05 = 78.15 : x
  2. Step 2: Convert to fraction form
    78.15/118.05 = 78.15/x
  3. Step 3: Cross multiply
    78.15x = 118.05 × 78.15
  4. Step 4: Simplify right side
    78.15x = 9,225.61
  5. Step 5: Solve for x
    x = 9,225.61/78.15
  6. Step 6: Final answer
    x = 118.05

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