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Finding the Fourth Proportional to 106.04, 157.86 and 101.07

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Solution

The fourth proportional to 106.04, 157.86 and 101.07 is: 150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.04 : 157.86 = 101.07 : x
  2. Step 2: Convert to fraction form
    106.04/157.86 = 101.07/x
  3. Step 3: Cross multiply
    106.04x = 157.86 × 101.07
  4. Step 4: Simplify right side
    106.04x = 15,955.12
  5. Step 5: Solve for x
    x = 15,955.12/106.04
  6. Step 6: Final answer
    x = 150.46

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Why These Related Problems?

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