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Finding the Fourth Proportional to 78.97, 109.02 and 70.32

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Solution

The fourth proportional to 78.97, 109.02 and 70.32 is: 97.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.97 : 109.02 = 70.32 : x
  2. Step 2: Convert to fraction form
    78.97/109.02 = 70.32/x
  3. Step 3: Cross multiply
    78.97x = 109.02 × 70.32
  4. Step 4: Simplify right side
    78.97x = 7,666.29
  5. Step 5: Solve for x
    x = 7,666.29/78.97
  6. Step 6: Final answer
    x = 97.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.