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Finding the Fourth Proportional to 130.98, 196.35 and 70.16

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Solution

The fourth proportional to 130.98, 196.35 and 70.16 is: 105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.98 : 196.35 = 70.16 : x
  2. Step 2: Convert to fraction form
    130.98/196.35 = 70.16/x
  3. Step 3: Cross multiply
    130.98x = 196.35 × 70.16
  4. Step 4: Simplify right side
    130.98x = 13,774.93
  5. Step 5: Solve for x
    x = 13,774.93/130.98
  6. Step 6: Final answer
    x = 105.17

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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.