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Finding the Fourth Proportional to 130.61, 181.06 and 123.67

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Solution

The fourth proportional to 130.61, 181.06 and 123.67 is: 171.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.61 : 181.06 = 123.67 : x
  2. Step 2: Convert to fraction form
    130.61/181.06 = 123.67/x
  3. Step 3: Cross multiply
    130.61x = 181.06 × 123.67
  4. Step 4: Simplify right side
    130.61x = 22,391.69
  5. Step 5: Solve for x
    x = 22,391.69/130.61
  6. Step 6: Final answer
    x = 171.45

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.