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Finding the Fourth Proportional to 78.98, 118.54 and 42.94

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Solution

The fourth proportional to 78.98, 118.54 and 42.94 is: 64.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.98 : 118.54 = 42.94 : x
  2. Step 2: Convert to fraction form
    78.98/118.54 = 42.94/x
  3. Step 3: Cross multiply
    78.98x = 118.54 × 42.94
  4. Step 4: Simplify right side
    78.98x = 5,090.11
  5. Step 5: Solve for x
    x = 5,090.11/78.98
  6. Step 6: Final answer
    x = 64.45

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