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Finding the Fourth Proportional to 97.02, 145.08 and 78.84

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Solution

The fourth proportional to 97.02, 145.08 and 78.84 is: 117.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.02 : 145.08 = 78.84 : x
  2. Step 2: Convert to fraction form
    97.02/145.08 = 78.84/x
  3. Step 3: Cross multiply
    97.02x = 145.08 × 78.84
  4. Step 4: Simplify right side
    97.02x = 11,438.11
  5. Step 5: Solve for x
    x = 11,438.11/97.02
  6. Step 6: Final answer
    x = 117.89

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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.