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Finding the Fourth Proportional to 130.16, 194.08 and 123.86

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Solution

The fourth proportional to 130.16, 194.08 and 123.86 is: 184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.16 : 194.08 = 123.86 : x
  2. Step 2: Convert to fraction form
    130.16/194.08 = 123.86/x
  3. Step 3: Cross multiply
    130.16x = 194.08 × 123.86
  4. Step 4: Simplify right side
    130.16x = 24,038.75
  5. Step 5: Solve for x
    x = 24,038.75/130.16
  6. Step 6: Final answer
    x = 184.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.