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Finding the Fourth Proportional to 78.02, 116.76 and 49.16

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Solution

The fourth proportional to 78.02, 116.76 and 49.16 is: 73.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.02 : 116.76 = 49.16 : x
  2. Step 2: Convert to fraction form
    78.02/116.76 = 49.16/x
  3. Step 3: Cross multiply
    78.02x = 116.76 × 49.16
  4. Step 4: Simplify right side
    78.02x = 5,739.34
  5. Step 5: Solve for x
    x = 5,739.34/78.02
  6. Step 6: Final answer
    x = 73.57

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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.