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Finding the Fourth Proportional to 114.51, 157.93 and 73.07

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Solution

The fourth proportional to 114.51, 157.93 and 73.07 is: 100.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    114.51 : 157.93 = 73.07 : x
  2. Step 2: Convert to fraction form
    114.51/157.93 = 73.07/x
  3. Step 3: Cross multiply
    114.51x = 157.93 × 73.07
  4. Step 4: Simplify right side
    114.51x = 11,539.95
  5. Step 5: Solve for x
    x = 11,539.95/114.51
  6. Step 6: Final answer
    x = 100.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.