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Finding the Fourth Proportional to 107.19, 147.83 and 70.34

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Solution

The fourth proportional to 107.19, 147.83 and 70.34 is: 97.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.19 : 147.83 = 70.34 : x
  2. Step 2: Convert to fraction form
    107.19/147.83 = 70.34/x
  3. Step 3: Cross multiply
    107.19x = 147.83 × 70.34
  4. Step 4: Simplify right side
    107.19x = 10,397.27
  5. Step 5: Solve for x
    x = 10,397.27/107.19
  6. Step 6: Final answer
    x = 97.00

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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.