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Finding the Fourth Proportional to 88.70, 122.35 and 78.30

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Solution

The fourth proportional to 88.70, 122.35 and 78.30 is: 108.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    88.70 : 122.35 = 78.30 : x
  2. Step 2: Convert to fraction form
    88.70/122.35 = 78.30/x
  3. Step 3: Cross multiply
    88.70x = 122.35 × 78.30
  4. Step 4: Simplify right side
    88.70x = 9,579.81
  5. Step 5: Solve for x
    x = 9,579.81/88.70
  6. Step 6: Final answer
    x = 108.00

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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.